You could also head south on Sepulveda
That'll take you into the Beach cities -- Manhattan, Hermosa, Redondo.
A couple miles south there's Rosecrans and Fry's Electronics (hey, I'm a computer geek and I can't pass that up!) also on Rosecrans are the Pacific Theatres and Houstons Restaurant which is really good.
You could also head down to Hermosa (or Redondo) by the Pier (if the weather is cool, I'd probably skip that.
all this presumes you have a rental car.
If you don't have a car, I don't know if there's a shuttle to the Green Line station; that area is just off rosecrans and within walking distance of Houstons and the Movie theatres.