[quote=Marx]
I thought of it as fair to rate Ulysses as a cosmic level due to the fact that regardless of one's power, they eventually die. That being said, I certainly would be happy with Ulysses having more scrapping power, but if he was an extremely strong fighter AND immortal, then he just ends up becoming overpowered. On your point about being tackled by a couple cops, Ulysses's natural strength is still far beyond that of a regular humans (if you'll note the attributes). Of the three characters you've listed, the only one that I believe would prove to be an unwinnable match up in all (current) circumstances would be Icon vs. Ulysses. Of course everything I say is open for discussion. Thanks for your thoughts Proton, if you still think that Cosmic is a tad too high for our dear Ulysses, perhaps we can look at some form of compromise or minor readjustment.
[/quote]

Ahh, I was assuming things like tasers or pepper spray would work for that example, actually not sure on that I realise. Yeah, Aegis is too squidgy without shields up to win in all circumstances, especially with Ulysses having back up (lots of resources). Not too sure about Alsia, but I agree that Icon is the only one who beats Ulysses in a fight every time (assuming there's no magical bullet or hostages and no Aegis to stasis them out of danger). 
Well, as the main focus of your character is that he can't be stopped in the long term, maybe something like the ability to instantaneously return to a specific, fixed point on earth (might also be a lair or safehouse, or just a random stretch of wilderness, you don't want anyone pouring concrete on it) once every x amount of time (maybe once per week, month, year?). The idea of this would be that he still comes back from it, even if all the World-levels team up to trap him in a pit and pour concrete on him, or if Icon throws him towards the sun (where he'd end up trapped inside still not dying) or just into space in general.