Let's ignore the standard DC or Marvel style supers games.
What other kind of Supers campaigns have you run, or would you like to run?

I get the feeling that many of these, the ones that don't follow all the precise strictures of supers play, are far more viable.  Even my own Legion of Superheroes campaign, which is pretty conventional supers and is based on DC's title, has turned out to be very viable purely on account of being set in the future and benefiting from a gap in time and space from the clusterfuck of the regular DC world.

RPGPundit

I've played an argentinean supers campaing - they where quite self-interested (money, girls and fame!), politicized, and had deep character flaws and reflected many southamerican indiosincracies. I have not seen the film, but Hancock seems a good model.

This more "human" supers where quite more playable than the standards me thinks.

I'd like to play:
1. My current GURPS Steampunk, but rebooted as League of Extraordinary Superfreaks;
2. Palladium Watchmen, but I'd have to read the book first;
3. Token Effort Superheroes or Token Effort Psychics.  I will start this new campaign if I deserve a reward.

We played a Project: Wideawake campaign back in the 80s. My favorite moment from that campaign involved the empathic old lady (Annalee?) from the Morlocks. She tried to mind-control my agent. I resisted and rolled a 00 as I fired back.

Headshot! Boom!

I ran a low-level supers game last year where I allowed any possible character from any StarCluster-system game. We ended up with super-soldiers from Wild Blue, genetically enhanced animal uplifts from StarCluster, Shape-shifting robots from StarCluster, wizards from Blood Games, and all sorts of fun/weird stuff.

-clash

A lot depends on what "standard" is, I've played and run many games with differing expectations. Some are based on "What if the real world got powers.." with less focus on the rotten bastards (Wild Cards), and more on the heroic side of the scale.

In other places I've had single origin games that changed the world as it looked now, and some that didn't.

I had one setting where the origin of powers was so strange that it really looked like some terrible White Wolf thing in the end rather than traditional supers. I must say it was my fault and repercussions were poorly thought out.

I'm currently drafting up my single-focus Lightbringers (think Green Lanterns in feel) which will deal with threats so far away from Earth that none of Earth continuity will matter much. Everyone will be an alien of some form. Right now we have a Brain Jelly, a Penguinish humanoid bird-person, and that's about it. I'm working on the other players to help them create some culture to their species/character that I can sue in play.