Thanks, all, for your suggestions! Not sure yet where we'll go, but great to know we have plenty of options!

We usually go to Palatte 22 pre or post show at the Signature.

I also like Guapos and the Carlyle.

THAI Shirlington is lovely. The staff are very kind. I also like CHiKO. Cheesetique is also tasty. Palette 22

Signature Theatre is in Shirlington which as PP listed above, has a ton of restaurants you can walk to.

There's also Guapos - a mexican place in addition to what's listed above.

Tons of options in Shirlington. Carlyle is classic for American food. Big buns damn good burgers for really excellent burgers, fries, and shakes.

Cooperwood
Carlyle
Palette 22
Osteria de Nino

Others:
Busboys and Poets (not my fave for dinner)
Guapos (margaritas!)

Counter service:
Stellina
Damn Good Burger

We're going to see Into the Woods at Signature Theater on Saturday afternoon and I'd love any recommendations for an early dinner after the show. We're coming from Maryland and don't know that part of Arlington, though we do know a few places in Old Town, or, of course, we could go back across the river for dinner, but we'd like to try someplace new. We like all kinds of food.