We have some Battle Couple fics, but you could also try the Established Relationship tag, the Fluff tag
and maybe the Public Displays of Affection tag.
EDIT: someone sent in
How we rolled up the carpet so we could dance by rohkeutta, SulaSafeRoom
Steve’s already showered and changed into sweats and a tank top, his hair still sticking up in cowlicks. When Bucky drags himself to the couch, still in his uniform with soot on his face, Steve takes one look at him in the soft glow of the living room lamp and opens his arms.
Bucky drops the shield on the floor and crawls over Steve’s legs to collapse on top of him, tucks his face under Steve’s chin and exhales. “Jesus fucking Christ.”