If you hate Meta, try DOTA.
And no, this is not one of those DOTA>League replies. I personally play both, and I like them both.
In DOTA, there is no Meta at all (well, except maybe the part where mid lane is usually solo, but even that is not enforced). You can pick any hero, and go any lane. You may have some angry Russians yelling at you if you take certain heroes into the jungle, but it still doesn't matter.
The Supports don't have to follow their carry, they can support any lane. The carry doesn't have to go bot lane, the fighter doesn't have to go top, the mages mid. In fact, you could have 3 people in one lane (while probably not the best strategy, it is still allowed).
I personally really hate this enforced meta bs in League. It's hard to take certain champs anywhere they aren't usually seen (for example: Morgana mid, because Morgana Supp is more popular these days) without getting flamed at.