Bender-Amy relationship

The relationship between Bender and Amy Wong is a recurring theme on Futurama.

Development
Bender and Amy's relationship was first explored in "Anthology of Interest II" during a What-if scenario, when Bender was asking what if he was an human, where Amy and Bender were kissing, and he said it was great.

In Bender's Game, though not technically Bender and Amy but their Cornwood-counterparts, Titanius Anglesmith and Gynecaladriel were kissing and spend nights together.

Their relationship truly began in "Proposition Infinity", when Amy had split up whith Kif, the crew was attempting to make her feel better, but Bender was making fun of her and tell her to shut up, Amy said what happens to the last guy who said shut up: sexual intercourse. Soon, they began a robosexual relationship and discover a mutual attraction. Later, Bender proposes to Amy, but robosexual marriage is illegal, so they lead a campain to legalize it, it is eventually approved. But, Bender dumps Amy for two hookerbots because she wanted a monogamous marriage.

At the end of "The Mutants Are Revolting", when partying Bender danced with Amy, and at the beginning in the group photo, he had his arm around her (and Fry).

In "Cold Warriors" when the planet express crew is shrinking away from a flu infected Fry, Bender and Amy hold each other.

Later in the episode a sick Amy rings a bell and Bender comes to her aid. She requests a heater, and Bender responds with an annoyed "Fine" and his core turns red as he heats up.

Additional Info
Bender appears to be aware of Amy's attractiveness (and its usefulness). In "Prisoner of Benda" be uses the professors mind switching machine to occupy her body, and attempt to seduce the guards to a crown he is attempting to steal. In "Attack of the Killer app" Amy is seen in a pink bra and undies doing a "sexy teacher act" for Bender so that can film it and get can get more followers than Fry to win a bet. (Amy also holds Bender in this episode when she is shocked) Bender also acknowledges her beauty in "Where the bungalo roam" when Amy is kidnapped: Kif: Amy Nooooo! Bender: Don't worry, Kif, I'm sure another beautiful rich girl will fall for you...(Laughs wildly)

In "30% Iron Chef" when Bender cooks each person their own meal, to exemplify Bender says: "Amy your cute, so I baked you a pony."

In "Kif Gets Knocked Up a Notch" Bender functions as her answering machine. (However ineffectively, Amy's current boyfriend Kif says he leaves hundreds of messages with her answering machine, but Amy never seems to get them.) In the same episode when it is found that Kif is pregnant, Bender expresses anger and frustration at Kif. "Just when I thought I'd figured out you biological creatures, theres something else?! Let me at him!"
 * Leela and Fry hold him back when he attempts to attack Kif*