I hate to say this, but your best bet may be a chain, such as Bucca Di Beppo (OK, Italian, but fake italian) or such.
In Burbank, you could go to karl Strauss. nice Garlic fries, good beer, and the kids would be tolerated. BJ's Brewery is also there, and similar. The food is "eh" but the beer is OK. They do american inexpensive meals..pizza, too. Not the best, but affordable, and they can handle big parties with notice. The pizookies, a cookie baked in a pizza pan and topped with ice cream are yummy (each one might feed two.)
Valley In is and old fasioned steak house in Sherman Oaks. I'm not sure about prices, but it is definitely American.
Cafe Bizou could handle your partyin the back room. American/french cafe food, very good, $2 corkage, not too pricey at all. Sherman Oaks, again.
I could give you more choices if people would expand their dining horizons beyond "American"