Board Thread:Characters/@comment-4441317-20160209062025/@comment-31125534-20170929202055

I think I know what issue you're looking for. Supergirl and Miss Martian fought in Teen Titans (Volume 3) #48. However that issue was an "Amazons Attack" tie-in. Beware.

You can read a review here: http://comicboxcommentary.blogspot.com.es/2016/11/back-issue-box-teen-titans-48.html

Kara and M'Gann fought together in the "Good-Looking Corpse" storyline (Supergirl (Volume 5) issues #60-64).

Superman fought Martian Manhunter in DC Comics Presents (Volume 1) #27, the beginning of one of my favorite Bronze Age Superman stories by the late Len Wein. Back then, Kal-El dominated J'onn.

Martian Manhunter fought Superboy-Prime in Infinite Crisis #6.

In the "Supergirl" show Martian Manhunter put down a crazy Supergirl very, very quickly.

Hmm... I don't remember more bouts between Kryptonians and Martians although I'm sure there must be. I can't imagine who would win. Martians have a larger array of powers but Kryptonians are stronger -I think- and have heat vision.