MarsBugs

"Marvin: you're an absolute perfect specimen Bugs: Oh uh cut it out! You're gonna make me blush!"

- -Lesson Plan 9 From Outer Space

MarsBugs is the Slash ship between Bugs Bunny and Marvin the Martian from the Looney Tunes fandom.

Looney Tunes Shorts
Since the beginning, Marvin has always been fascinated with Earth. When he's not planning to destroying Earth because it blocks his view of Venus, he's studying earthlings and learning about their culture. Bugs happens to be one of the earthlings Marvin captures just to study. When Bugs was tricked into going to Mars twice, Marvin took immediate interest in him, wanting to study him more.

In "The Hasty Hare" Marvin arrives on earth and tells Bugs that he's leaving with him back to Mars (much to the dismay of Bugs) who tries to fight back.

While Marvin is Bugs' rival and is smarter that Bugs' previous rivals, he doesn't really want to do any harm to Bugs, because he sees Bugs as a perfect opportunity to learn more about Bugs so that's why he's so desperate to capture him so he could run test on him and learn more about the Earth when he eventually destroys it. Bugs of course treats Marvin the same as all his other rivals; playing tricks and defeating his rivals using his charms. But unlike Elmer Fudd, Yosemite Sam and even Daffy Duck, It's very rare for Bugs to use his signature charm on Marvin but there are moments where Bugs will kiss Marvin before slamming his helmet down, blinding him.

While Marvin only appears in 5 classic shorts, his relationship with Bugs began to soften a bit as the franchise went on. Bugs and Marvin don't straight up hate each other but at the same time, they're not friendly with each other. Instead they have an on off friendship depending on the media.

Looney Tunes Cartoons
In the episode "Lesson Plan 9 From Outer Space", Marvin actually succeeds in capturing Bugs and begins to run some test on him, complimenting Bugs which makes the rabbit blush. However, some of the tests Marvin does drives Bugs insane to the point he tries to run away before Marvin can ask him to insert a device inside of him. Marvin doesn't and instead is so infatuated with Bugs that he is willing to push Bugs to his limit and even falls for his tricks since Bugs tricked Marvin into thinking he had earth creatures before shipping him off to Peru.

Moments

 * Bugs kisses Marvin.png a commercial advertising a drink mix called Tang, Bugs and Marvin race to a planet to obtain some Tang. As a way to distract Marvin, Bugs kisses Marvin on the lips (noticeably Marvin leans in to the kiss) before slamming his helmet down and running off with the Tang.

Fanon
While Baffy is the more popular ship, there are some fans who ship this as they see it as a "secret lovers" pairing. Fans see Marvin being obsessed with Bugs as him being in love with him while Bugs is just playing hard to get.

Fandom
Fan Fiction

Bugs Bunny/Marvin Martian tag on AO3

Fan Art

Bugs Bunny/Marvin Martian tag on Tumblr