In Feng Shui, I found that a problem my group often ran into in fights was that it was very difficult to hit enemies whose Defense scores were one or more points higher than any of our Action Values. The odds were simply not in our favor, most of the time, so a lot of fights devolved into a slugfest where 3-4 protagonist named characters would ineffectually flail at 1-2 antagonist named characters until we finally got enough lucky shots in to kill them. Meanwhile, they'd consistently be able to hit us hard because their AVs were also higher than our DVs.
Feng Shui 2 has solved part of that problem by separating AVs and DVs, but I still wonder what I'm supposed to do if I'm playing as an out-of-the-box Masked Avenger (Mutant AV 13, Defense 13) and I'm fighting against an out-of-the-box Martial Artist (Martial Arts AV 15, Defense 15). My character might be able to do more damage with my gun if I can hit anything, but I have about a 30% chance to hit unless I use Eagle Eye (which means I'll be shooting less often). Meanwhile, the MA can hit me about 70% of the time if I'm not dodging.
I don't expect all of the character archetypes to be perfectly balanced against each other, mind you, but it seems clear that some are just plain superior at fighting. There's not much you can do if you find that one of them is opposing you, except to leverage whatever shticks you have and hope you get lucky.
As a player, how should I handle situations where I face one or many enemies whose base numbers are better than mine? As a storyteller, should I hold back on making bosses with AVs or DVs much higher than the players'?