But I like my maps. 
Here's you snuggle-blankie and a glass of water.
...oh, you said
MAPS, not
NAPS.
I a big supporter of maps. But I also know that they aren't always needed. Always using the maps in a RPG tends to cheapen their meaning. If you can get through the smaller combats by just describing the action, letting the players imagine how it all goes (instead of them having to count how many squares they move), they'll get more out of the little fights. Then, when you whip out the map for the big fights, they get more serious about the fight because they realize it's important enough that you drew out the details.
Not to mention that not using a map can speed up combat in any system. First, the GM doesn't have to position everything
exactly so; allowing a more fluid combat. "How far away is he?" "He's just inside the short range of your pistol, but if you charged him, you could reach him for melee." Second, by eliminating the distraction the details on the map ("What's this?" "A column." "And this?" "A bench." "How about this?" "<sigh>"), they can focus more on what they are fighting and what needs to be done.