Please note, because these are suppose to be oddball suggestions, they're generally not going to be well received or often talked about titles. The point is more so to highlight games that might have flaws, but still offer some great aspects. This doesn't hold true for every game, but is the general theme I was going for. Well, that and games I don't normally see people talking about.

• The Surge (terrible story, high learning curve, still a lot of fun to go around killing people in gruesome ways)
• Seasons After Fall (really easy, but beautiful to look at)
• Bullstorm: Full Clip Edition (Awful story, most things are forgettable, action is stupidly fun and one of the multiplayers I enjoyed most last generation)
• Steins;Gate 0 (Visual novel, so no gameplay. Despite that, amazing story and some of the endings were really surprising and satisfying. Enjoyed it more than the original.)
• Odin Sphere Leifthrasir (Amazing game from VW, with a touching story. All around great.)

Plus, here are some Vita games, since I end up playing a lot of them too.

• A Rose in the Twilight (Depressing, dark and frustrating, but still one of the best puzzle games I've played in a while)
• The remaining Vanillaware games.
• Freedom Wars (Not the best Monster Hunter-esque game, though it had an interesting story and fun combat.)
• Lord of Apocalypse (another weird Monster Hunter game)
• Dokuro (Unique artwork and fun puzzles. Not as hard or deep as A Rose in the Twilight, but still memorable.)