The late Leigh Brackett and Lawrence Kasdan deserve some kudos for crafting a great script to begin with.
Gary Kurtz for being a good producer and not a yes man.
Mark, Carrie, and Harrison, who in spite of their personal problems public and private at the time, gave it 110%, and didn't phone it in.
Frank Oz, for making us believe a little green rubber puppet was a living creature.
And the rest of a great cast, who made you believe in those characters even if you never saw their faces or heard their real voices.
This could potentially be a really long list. Just watch the closing credits of the film instead. ;)