Re: Fast combat?
Well, if all the good points that the forum users did make still don't work out for you (which I doubt, really) then there is always the option of going for FENG SHUI, a Hong-Kong-Action-Move RPG with a very, very, VERY cinematic combat system that expects you to do WAY COOL stunts all the time! You might like it... and the setting background is rather cool, too.
Me, I am just starting a Dark Champions campaign and speeding up combat is also an issue for me. The players are all unfamiliar with the system and character creation already proved to be rather mind boggling for them. But we're getting ahead. So, in order to not completey lose them I will try to speed up combat which IMHO is (or rather: can be) a time consuming process in the HERO system. But all the useful hints how to go about speeding it up have already been given here, so I have nothing new to add.
In the end it all depends on how you want combat to "feel" for your game and then to keep it consistent. If you're going for the "kick in the door with both guns blazing" approach, be sure to not expect your players to be overtly cautious when it comes to confrontations. On the other hand, if you want to teach them that it's a deadly, unforgiving world out there, don't do away with all the combat minutae - use bleeding rules and hit locations to full effect. Luckily, HERO supports both styles and everything in between.