I live in the Midwest and I've seen it both with broccoli and without. PF Chang's which is one of the higher end nationwide chains has it with broccoli. Their version is called General Chang's.

http://www.pfchangshomemenu.com/entrees/general-changs-chick...

Interesting; I wonder if it's a regional difference? Broccoli in General Tso's is nearly universal in the New York City region. I've probably ordered the dish from a few dozen places over the years here, and maybe only one or two omitted the broccoli.

It's common, although obviously not universal.

Every version I've had has had it.