Here's every band I can remember seeing. Keep in mind that my wife and I are proper American hipsters, which heavily informs this list:
Steely Dan (x4) - the last one was the first show they put on after Walter Becker died. I felt like I had to go. But Donald Fagen's voice is absolutely cooked so I can't go again.
They Might Be Giants (x2)
Doves - really regret my behaviour at this
one. My girlfriend at the time took me, my mind was on something I was going to the next day, I wasn't up to speed with their music, and I was a big wet blanket. Now of course I have all their albums, so I lost the battle and the war.
Ben Folds (x4)
Stevie Wonder
Paul McCartney
Paul Simon
Elvis Costello (x2)
Snow Patrol (absolutely rocked the place, great show)
The Shins (x2)
Ben Folds Five
Norah Jones
The Postal Service (seeing them again in October)
She and Him
Pearl Jam
Arcade Fire (x2)
M. Ward
Vampire Weekend
Garfunkel & Oates
The War on Drugs
Phantogram/Broken Bells
Jenny Lewis
The Polyphonic Spree
First Aid Kit
St. Vincent (x2)
Sleater-Kinney (x2)
Wilco
The Family Crest (x2)
Belle and Sebastian (x2) - my wife was pregnant both times!)
The Decemberists
CHVRCHES
Public Service Broadcasting - I took a holiday specifically to see them live. Glad I did as I don't think they've played in the US since then.
Death Cab For Cutie
Courtney Barnett (x2)
The New Pornographers