I usually just do 1 good table service during a trip, but i only go for like 3-days max. I'm local, I go a lot.
Counter service - I eat the Electric Umbrella and have roast beef with horseraddish. I eat at the Lotus Blossom and have egg rolls and occasionally a noodle bowl. I eat a the Tangerine Cafe and have the vegetarian platter with coucous and hummus. I eat in germany and have my suarkraut and sausage. I eat probaly 1 burger and the occasional chicken strip my entire stay. For short trips, like day trips, I usually don't have any burgers at all.
So, you can eat other food with counter service. It just takes knwoing where to go.
I also avoid most "popular" table restaurants. I don't do character meals, and if you've never heard of it, that makes me happy. Any popular or "recomended" places tend to be packed and the servers short on time and patience (I don't blame them). I stick to the Concourse Steakhouse, Maya Grill, and occasionally a place in Epcot's World Showcase (mostly for lunches).
I look at the list of places that were gone to on the DDP and i feel - i dunno - concerned? Nothing off the beaten path, and lots of "guest favorite" places. I tend to find is the masses love it, i'll dislike it and find it bland.
For example, Alfredos in Epcot has raves from most everyone, and I find their food yuckey and bland - not real italian.
I'm getting the dining plan free this august, and i've had it before as part of a test-group. When i had it before, I enjoyed Concourse and Marrakesh (though my shish-ka-bobs were slightly burnt, i've had other stuff there to know it was a fluke).
My advice is to dine during quiet periods, avoid busy parks, and always see the dining as a chance to relax. If a guidebook says "everyone loves this place" then it's probably too crowded to be pleasent.