She says "I love you" and he immediately disappears. Usually that would indicate a fear of commitment...

This may technically be a last issue: from 2006, Hawkman #49, "Coalition in Crisis, part three" Written by Justin Gray and Jimmy Palmiotti, pencils by Chris Batista, inks by Cam Smith.

The premise for the entire series to this point was that Hawkman and Hawkgirl had reincarnated many, many times; but always found each other and continued their love. Until this version: Kendra hadn't remembered her past lives until just recently, leaving Carter to pine over her for about four years. They just finally got together, right in the middle of the latest Rann/Thanagar War, with yet another Crisis maybe about to wipe out existence on top of that. (It almost reads as if they're late to a big battle after a long night!) Well, they still have each other, and guest-stars Adam Strange, GL's Kyle and Kilowog, that older-looking Captain Comet, Vril Dox, and the Prince Gavyn Starman! Heck, the Omega Men are in there, too. Even though Carter makes a big hero speech, he and Kendra can barely keep from making eyes at each other there. But the final page shows multiple versions of the Hawks, and teases "1 Year Later." What does it mean?

The next issue would be Hawkgirl #50, and a brand new direction with a brand new creative crew, Walt Simonson and Howard Chaykin! I don't know if it really clicked for me, although we did see the last issue some time back. Carter would be MIA for a bit, and I couldn't even tell you how that Rann/Thanagar war ended. There's probably been two more since, though, so okay.