Fry
He would pull you close to him and be all cuddly with you, just to let the other person know that you belong to him. Afterwards, he would hold your hand.
Bender
Like Fry, he will pull you into a hug, but then he'll passionately kiss you for a good minute. Afterwards, he'll give the person a "Leave-my-girlfriend-alone-if-you-know-what's-good-for-you" look.
Leela
If it's a male, she will tell to the world that you're lesbian, and that usually does the trick. If it's a female, then she'll pull you closer to her and whisper sweet nothings in your ear.
Amy
Like Leela, she'll pull you closer to her, but she'll just love on you like it's nothing and give you kisses on the cheek.