Let's say that if you start switching characters around they keep their character, lose their power to gain the ones of the MC of the verse but of course should lose their plot power too. Otherwise if we put let's say Kirito in whicever shounen you want he ends up humiliating said verse just because of the sheer huge plot power he gets in his verse (he is a Gary Sue).
So, imo, mastermind charcaters would shine pretty much everywhere there was a dumb MC who ruled the verse (so the majority of mangas, or better shounen)(yet on the other side stupid MC almost every time manage to get where they are also thanks to a big portion of luck aka plot power, see Luffy, so if we just switch in a character way smarter but that lacks the big plot power a shounen MC usually gets there is no saying on how it could really end).
Anyway MC like Light Yagami, characters from HxH, Code Geas (don't remember it well but the MC should be a mastermind) should be able to profit from genric shounen verses (HST, MHA, etc. etc.). While if we do the opposite... let's say we put Naruto in the shoes of Gon... the first time he is in front of some serious trouble he will be fucked (since Naruto characters work on the normal shounen level of intelligence you see around while the HxH verse is a lot more complex when there is an hard situation, they think a lot lol).
Also it would be fun to see characters with strong morals in verses where it is kill or be killed. Let's put Luffy (I think he never killed anybody on panel) in verses like Fist of the North Star, Berserk or Goblin Slayer.
Then shouting angry kids MC characters (attack first think later) in mangas (all seinens at this point) where power levels mean sh*t, or almost, and you have to make it work just with your brain: Monster, Pluto, Hive and plenty more.
Then MC who are gods in their verse from pretty much the get go, they start perfect (or become after a few chapters like in most isekai), so Gary Sue so characters who are basically white blankets personality wise who get breast feeded by the author all the time (let's take Solo Levelling, all the chapters are monster getting hype for beating secondary characters, MC humiliating said monsters and getting praised throught the chapter/s where he kille the monster, this goes for every arc) they would be mercilessly slaughtered since they have 0 character (aside from the proverbial determination whoch is a deafult for every MC).