Autofill support, Yasuo and Feeders who won't FF at 20.
The 3 things that currently annoy me most about LoL are the above. (After 6k + games played since 2006).
Autofill - Exists solely because support exists and a simple solution is to make the Rift 4v4 so nobody is gold starved. I would accept teambuilder instead.
Yasuo is simply cancer. He's more mobile than any champion in lane, his windwall blocks almost everything - even 20+ ultimates, and he has a passive shield that makes his dash real cancer because he's so hard to trade against. I don't mind his damage and ult (except his ultimate should be stopped by a hard stun before the animation starts). After all even malphite's ultimate can be stopped by a binding.
And tryhard feeders that won't ff at 20 when losing by 10+ kills waste time.