I don't think I've played a game like that... the closest thing to it would be RE4. Pretty much the only parts I dislike about that game are the sections where you have to run to avoid getting crushed by a boulder, because I suck at mashing (strangely enough, the Salazar statue is fine for me).
KH1 has the early Gummi ship sections that I've come to dislike everytime I play the game (not to mention building a faster ship to skip said sections more quickly, because the controls are weird). It also has Agrabah's guardian/cave of wonders/the lion face; that boss is an absolute chore to fight, especially if you don't have Guard.
KH2's Gummi ship sections are way longer, but the good thing about it is that you only have to do them once per world (technically the same thing applies to KH1, but in KH2 all you have to do is select the world you want to go next, and you're there. No need to watch a warping animation or anything).
All in all, RE4's "annoying segment(s)" last 10 (?) seconds at most, not counting each time you fail at them (not to mention that the annoying factor can easily be remedied by simply getting gud at it). But if you get killed in the Gummi sections, you have to redo a 2-3 minute long section (depending on the route, the game, and the ship itself), so as I said RE4 is as close as it will get for me.
And yes, kinda like Infinity said, does this apply to Action games only?