In Celebration, highly recommend the Town Tavern--great food, family friendly, over 100 beers. The Columbia is good is you want something with more of a Florida feel (Spanish/Cuban food, family-owned small chain, the original is the oldest restaurant in Florida). Both very reasonable priced compared to on-property.
Graffiti Junktion, on Turkey Lake Road, is mostly burgers, but also hits all your criteria. Again, technically a chain, but only three or four of them, all in Orlando.
For craft beer, not family-friendly (it's a bar, not a restaurant, so 21+), check out Player 1 Video Game Bar in Lake Buena Vista. All craft, different taps constantly rotating through.
As Nick said, Winter Garden has a lot. Crooked Can is probably the best local craft brewer in the Disney area (unless you're willing to haul across town to Sanford, which is a craft mecca now). Very family-friendly, in with sort of a permanent farmers market, so the kids can run around I really like Urban Flats in downtown WG as well, tho it's almost as pricey as most of what you'll find in Springs. Still worth it.