Unforunately haven't play last of us multiplayer so I don't have a clear idea what you mean. Which of these would be the closest to what you're looking for?
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In counterstrike you have to buy weapons, armor etc, and grenades are valuable consumables that cost money, and have a maximum amount you can carry. If you die you lose the resources you spent (an enemy or teammate can scavenge your weapon).
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In team fortress 2 the medic class has a healing beam which stores energy for an 'ubercharge' as you heal. These ubercharges are very important for breaking positions, and working together to get the most use out of them, and protect the medic is an important part of the game.
Respawning Medipaks around the map are also a limited resource that you have to think about. For example if you have 90%hp, it would be a good idea to take a medipak if you expect an opponent to be the next person who comes across it, and a bad idea if you expect an injured teammate to be along soon.
There's also an engineer class which builds buildings that take time and metal to set up, thus creating assets for their team which are permanent until they are destroyed.
Spies have a cloaking device which makes them invisible for a limited time, so they have to be very caerful about managing their cloaking time. Disguising themselves also takes time, and choosing a disguise based on context, position of enemy team, where you'll be (e.g. pyro near the front lines, sniper in the back) etc, can be very important. You'll also be disguised as a specific player on the enemy team who is playing the class you chose, with their username on the nameplate that shows up when you mouse over a teammate.
Demomen can plant sticky bombs which they can later detonate.
Heavy weapons guy is really slow and his minigun takes time to spin up, at which point he gets even slower, so he has a limited ability to reposition himself, which he has to trade off with being ready to shoot.
Pyromancer similarly has to manage distance well because his main weapon (yep, you guessed it, a flamethrower) is very close range.
The other 3 classes- soldier, scout, and sniper, are more or less straight combat classes, soldier most of all.
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In mechwarrior, which may technically be an FPS, You pilot a giant mech with a limited turn rate that has to accelerate and decelerate to move. Using weapons generates heat, which can't rise above a certain level without causing problem. Managing heat and positioning is of equal or greater importance than combat skill. But like I said the focus is so much on that that's it's barely an fps.
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Hawken is similar but much faster paced and with mechs that I guess must exist further in the future, or further into the fiction end of sci fi, because they have way better acceleration. Hawken very much is an fps.
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There's a few team fps base builder games whose name I can't remember where one player is a commander. One of them is wolves vs humans or monster vs humans, and the other one is humans vs 'alien' the movie type aliens. Savage xr, that's the name of one. I don't know if the savage series has much population. Natural selection was the other. NS2 has some population according to steam charts. Maybe there are newer game in the genre with more population, and/or more amenable to playing the game slowly and carefully.
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I think overwatch is a moba type fps. I don't know have if it has buying items and stuff like league of legends. I think smite's also a moba type fps. Idk if either of them have resource management other than ability cooldowns. There may be a similar game which does
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Speaking of ability cooldowns, world of warcraft pvp is all about managing cooldowns- conserving yours, forcing your opponent to blow theirs, concentrating your on your team's resources on the best spot at the right time. I'm thinking of dueling and arena combat. Probably true of other mmos.
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Tribes ascend and legions overdrive are 'skiing' based games where you can rack up speed gliding up and down hills in order to take a shot at capturing the enemy flag without getting torn to shreds by the people defending it. In this case the limited resource you have to carefully manage is speed/momentum, as well as your jetpack. If I recall correctly, in tribes there's also an engineer type class that can set up walls & turrets, and secondary objectives like power generators to destroy.
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I haven't played rainbow six or any tactical shooters of that vein in multiplayer but they might be similar to counterstrike.
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Battlefield multiplayer?
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I watched a video of the last of us multiplayer on youtube and it reminded me a lot of gears of war. That's on xbox but maybe there's a similar game on pc or ps4. (maybe it is on pc actually). Oh wait that's 3rd person.
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Unforunately haven't play last of us multiplayer so I don't have a clear idea what you mean. Which of these would be the closest to what you're looking for?
_
In counterstrike you have to buy weapons, armor etc, and grenades are valuable consumables that cost money, and have a maximum amount you can carry. If you die you lose the resources you spent (an enemy or teammate can scavenge your weapon).
_
In team fortress 2 the medic class has a healing beam which stores energy for an 'ubercharge' as you heal. These ubercharges are very important for breaking positions, and working together to get the most use out of them, and protect the medic is an important part of the game.
Respawning Medipaks around the map are also a limited resource that you have to think about. For example if you have 90%hp, it would be a good idea to take a medipak if you expect an opponent to be the next person who comes across it, and a bad idea if you expect an injured teammate to be along soon.
There's also an engineer class which builds buildings that take time and metal to set up, thus creating assets for their team which are permanent until they are destroyed.
Spies have a cloaking device which makes them invisible for a limited time, so they have to be very caerful about managing their cloaking time. Disguising themselves also takes time, and choosing a disguise based on context, position of enemy team, where you'll be (e.g. pyro near the front lines, sniper in the back) etc, can be very important. You'll also be disguised as a specific player on the enemy team who is playing the class you chose, with their username on the nameplate that shows up when you mouse over a teammate.
Demomen can plant sticky bombs which they can later detonate.
Heavy weapons guy is really slow and his minigun takes time to spin up, at which point he gets even slower, so he has a limited ability to reposition himself, which he has to trade off with being ready to shoot.
Pyromancer similarly has to manage distance well because his main weapon (yep, you guessed it, a flamethrower) is very close range.
The other 3 classes- soldier, scout, and sniper, are more or less straight combat classes, soldier most of all.
_
In mechwarrior, which may technically be an FPS, You pilot a giant mech with a limited turn rate that has to accelerate and decelerate to move. Using weapons generates heat, which can't rise above a certain level without causing problem. Managing heat and positioning is of equal or greater importance than combat skill. But like I said the focus is so much on that that's it's barely an fps.
_
Hawken is similar but much faster paced and with mechs that I guess must exist further in the future, or further into the fiction end of sci fi, because they have way better acceleration. Hawken very much is an fps.
_
There's a few team fps base builder games whose name I can't remember where one player is a commander. One of them is wolves vs humans or monster vs humans, and the other one is humans vs 'alien' the movie type aliens. Savage xr, that's the name of one. I don't know if the savage series has much population. Natural selection was the other. NS2 has some population according to steam charts. Maybe there are newer game in the genre with more population, and/or more amenable to playing the game slowly and carefully.
_
I think overwatch is a moba type fps. I don't know have if it has buying items and stuff like league of legends. I think smite's also a moba type fps. Idk if either of them have resource management other than ability cooldowns. There may be a similar game which does
_
Speaking of ability cooldowns, world of warcraft pvp is all about managing cooldowns- conserving yours, forcing your opponent to blow theirs, concentrating your on your team's resources on the best spot at the right time. I'm thinking of dueling and arena combat. Probably true of other mmos.
_
Tribes ascend and legions overdrive are 'skiing' based games where you can rack up speed gliding up and down hills in order to take a shot at capturing the enemy flag without getting torn to shreds by the people defending it. In this case the limited resource you have to carefully manage is speed/momentum, as well as your jetpack. If I recall correctly, in tribes there's also an engineer type class that can set up walls & turrets, and secondary objectives like power generators to destroy.
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I haven't played rainbow six or any tactical shooters of that vein in multiplayer but they might be similar to counterstrike.
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Battlefield multiplayer?
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I watched a video of the last of us multiplayer on youtube and it reminded me a lot of gears of war. That's on xbox but maybe there's a similar game on pc or ps4. (maybe it is on pc actually). Oh wait that's 3rd person.
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Having watched that video, what stuck out to me is that it's a cover based tactical shooter with slow movement where it doesn't take a lot of shots to drop someone. It also looks kind of non twitch based? Maybe something in the vein of rainbow six would be the best fit.