Rogue

Main Comics (616)
1.  Cody Robbins  was a young man who the teenaged Rogue went ona date with. Upon their fist kiss, her powers were triggered, and Cody ended up in a coma.

2.  Longshot , Rogue, and Dazzler were involved in a love-triangle, in which Rogue and Longshot kissed at least once. He, however, ended up with Dazzler.

3.  Remy LeBeau / Gambit  and Rogue have a longstanding on-again, off-again relationship strained by her inability to touch others.

4.  Erik Lensherr / Magneto  and Rogue shared the beginnings of a relationship while in the Savage Land. (Uncanny X-Men #274, 1991). After that, to quote one fan, "she kept throwing herself at Magneto over and over...The more he turned her down, the more attached she became to the idea of them being together until it actually got rather pathetic.

 The Shadow King , an evil being, once seduced Rogue into a kiss (Uncanny X-Men #278, 1991)

5.  Joseph  - Later, Rogue fell in love with Magneto's clone Joseph. He reconstructs the Z’nox chamber, an alien device that, coincidentally, allows Rogue to gain control over her powers, i.e. touch people without almost killing them. The two of them stand beneath the machine together, have a sweet and tender moment, and things are looking up for the couple. Then Joseph gets killed by the actual Magneto, because comic books aren’t really great at letting heroes be happy.

6.  Colossus and Rogue realized he was immune to her life-sucking powers when in his armored state, Colossus and Rogue began a physical relationship, yet that seems to be all it was. (X-Men v2 #100, 2000)

 Wolverine  and Rogue later shared a kiss, but it was when being mind-controlled by an evil being. (X-Men #169, 2005)

Rogue later had a hallucination/memory in which she went back to the Savage Land and she and Magneto looked at each other and said, 'It wouldn't have worked." (X-Men: Legacy #223, 2009) (also see the cover for X-Men: Legacy #232, Mar. 2010).

7. Peter Parker / Spider-Man and Rogue almost shared a kiss before being interrupted (X-Men Forever 2 #3, Sept. 2010)

Post Secret Wars
Black Widow, when in need of transferring her skills to Rogue in a mission, planted a flirtatious kiss on Rogue (A + X #2, 2013)

1 Johnny Storm / The Human Torch and Rogue shared enough of something for him to feel comfortable slipping into bed with her (Uncanny Avengers v3 #5, 2017)

2.  Wade Wilson / Deadpool  - Rogue planted a kiss on him after a mission. (Uncanny Avengers v3 #22, 2017)

Alternate Realities

 * 1)  Fandral  In the timeline that took place if the Avengers had stayed in Asgard following a mission there, Rogue and Fandral fell in love, and her powers didn't affect Asgardians. (What If v2 #12, 1990)
 * 2)  Steve Rogers / Captain America  and Rogue were married and had children in one alternate reality. He called her "Carol," which suggests she never got over the melding of her and Carol Danvers' personality (What If v2 #114, 1998: Brave New World").

X-Men Animated Series

 * 1)  Remy LeBeau / Gambit  and Rogue have a similar relationship as that in the comics.

Spider-Man and Rogue have a flirtatious relationship when their series cross over.

X-Men Films
In the future, during the post-apocalypse war, Rogue was nowhere to be seen (her role was greatly expanded in "The Rogue Cut.") When Logan awoke in a new version of the timeline he created, he saw Bobby and Rogue together, presumably in a relationship.
 * 1)  Bobby Drake / Iceman  and Rogue shared an attraction from the first time she attended Xavier's school. They formed a relationship, even though it could not manifest itself phsysically, which continued as they joined the X-Men. When the Mutant "cure" was created, she chose to take it, removing her powers and her inability to touch people, bringing a new factor to their relationship. Given that this serum's effects seem to have worn off Magneto, it would appear this would have happened to Rogue.

X-Men: Evolution
 Scott Summers / Cyclops -  Rogue had a major thing for Scott. A vision of the future once showed them standing hintingly close together, and the show's creator made it clear he had planned for them to get together.