I love almost all veggies and adore broccoli.
Here is what I do with broccoli that negates a lot of the weird taste (it's not bitter, what is it?). Anyway, I cut the broccoli into florets (no stems -- I am a snob) and steam it in my steamer until it is well done. I saute a clove or two of garlic in some olive oil until it is just starting to brown, then toss it with the broccoli and dump some parmesan cheese on it. It is easy and most people like it.
I also love carrots & hummus together, sugar snap peas, those sweet little grape tomatoes and good corn.