I've been reading different fandoms of fanfic for about a decade now and have run across this scenario in the likes of The Sentinel, Magnificent Seven, Buffy, Criminal Minds, and X-Files. Woke up this morning wondering if anyone had written such stories for The Avengers/Iron Man/Captain America/Hulk. Still working as part of the group, one member is kept/pushed outside of the circle socially or during downtime. Or forgotten once the battle is over and left to make their own way home. When parties or nights out are planned one person is left out, not even thought of to invite. Not so much like, "Oh, Bruce won't come, he doesn't drink," but the odd man out coming to the kitchen for a late night glass of water to find the others just getting in from a party he/she knew nothing about.
I just read most of the series First Impressions and Second Chances by lilsmartass where Steve and Clint, with the backing of Fury and Hill, let Tony know that, outside of the actual battles, he wasn't wanted, wasn't part of the team, even rejecting every gift or weapons upgrade Tony brought them. Harsh story but it left me wondering if there were any more like that, with any of the Avengers family left 'out in the cold'.
And the tags are just guidelines for what I'm looking for, not set in stone.
Update: Reading the stories suggested in a post from January I found "An Acceptable Loss" by RandomSlasher where Coulson wakes up alone in a Pennsylvania hospital about 4 months after the Battle of New York, with no sign of any visitors and no change in his apartment when he finally makes his own way back to NY. He feel totally abandoned and thinks that he was wrong in thinking that any of the team or even Fury were his friends. Turns out to be a paperwork glitch that made everyone think he was dead.
Any story like that one, where someone thinks that he/she is on the outside, even though it was never the case, also covers what I'm looking for here. And check out that story; its a good one.