I don't think I've ever felt so powerful in any game as I have in League of Legends (or any MOBA.) It's probably because you get a sense of progression - you start weak, and after about 20 minutes, boom, you're a fucking juggernaut. The contrast really helps make you feel more powerful.
Part of the feeling of godliness comes from just the sheer satisfaction when you pull off a ridiculous play, like managing to turn a fleeing 2v5 Baron fight into an ace for your team against all odds.
The real power is when you get fed though - when you're more powerful than every player on their team. You're strong enough to take down a player in a matter of seconds, and if you're really fed, you could probably take their entire team solo; something that is basically a Hail Mary, about as rare as batting a perfect game. It's next to impossible, but my god does it feel right.