Urf Kench is an ugly abomination that's basically the bastard child of Urf and Tahm
Void Illaoi makes Illaoi into a void creature, that doesn't fit. Same for Void Fizz.
Pool Party Reksai makes her a shark, she's a void creature. It doesn't make sense.
Ashe is not a marauder. She is quite the opposite. It makes no sense.
Sivir is not a protector of the weak, it doesn't make sense.
Varus, Vel'koz, Syndra and Aatrox are not champions of good and the light. The justicar/arclight line are out of place.
Trundle is evil. He wouldn't be a cop. The skin makes no sense.
I don't think Darius has any in lore reason to play basketball.
Caitlyn is a sheriff, not a killer. Why does she have headhunter?
I highly doubt Nautilus or Teemo have ever been to space. The skins make no sense for either of them.
Why would Draven wear a big Draven mask?
Look I know this probably comes across like I'm being a douche, but honestly, skins don't have to make sense. There is no "fitting in" with skins. Pupper Kog should be fine if Butterfly Kog is fine.