Are there really anti-meta champions?

I mean, in Yu-Gi-Oh, anti-meta decks mean decks that are able to completely dismantle another certain deck. So is there really an anti-meta champion strategy in LoL like against Master YiSquare Master Yi and other meta champion strategies to make them at least bearable?

I mean metas are way too common and I do want to find a way to dismantle meta champion strategies with an anti-meta champion strategy. I also don't consider using a meta-champion strategy against another meta champion strategy as an anti-meta strategy (e.g. Meta Master YiSquare Master Yi against Meta TryndamereSquare Tryndamere).

If there are please comment and tell me. :D