Max trying to cuddle with Jammet in his sleep at the end of the pilot episode. It's just way too cute.
Max and Miko's goodbye kiss at the end of A Little Romance
The scene in "An Embarrassment of Roaches," where Moze tells Max that there is nothing wrong about discussing practical differences between people (such as the fact that the explosive birth rate of Roaches makes Roach and Rodent co-habitation completely impractical), as long as it's done respectfully. At the end, Moze asks if Max still likes them and everyone smiles at his charmingly diplomatic answer, "Sure, only in moderation, like 5 to 600 at a time."