Here's a list I did a few years ago in another post dating from 1982-3: I don't think there are any additions since. There are a few comments about the games I actually saw.
Alan Young vs Millwall in 1982-3 (last 10 mins, conceded 1, United won 2-1)
Glenn Cockerill vs Luton in 1985-6 (league cup) (a 15 minute spell, John Burridge came back on and finished game: Cockerill conceded one and we lost 3-1)
Paul Stancliffe vs West Brom in 1987-8 (whole of second half: conceded 2 in a 4-0 defeat)
John Pemberton vs Liverpool in 1990-1 (75 minutes - conceded all 3 in 3-1 defeat). Pemeberton was at fault for one of the goals, needlessly racing out and missing the ball.
Roger Nilsen vs Norwich in 1996-7 (played last 20 mins - conceded twice in 2-3 defeat). Nilsen was shocking, and was at fault for both goals, one an o.g. by David Holdsworth. There must have been someone on the field who could have done better.
Don Hutchison vs Ipswich in 1997-8 (played last half hour - conceded once in 2-2 draw). Saw this game on telly. Hutchison did ok but might have done a bit better with their late equaliser, I remember.
Shaun Derry vs Portsmouth in 1997-8 (end of 1st half and all of 2nd half: "clean sheet" in a 1-1 draw). Portsmouth were very poor in the second half and I'm not sure Derry had a shot to save, but his handling was good. He was the best of the 3 keepers who played that day - Tracey got sent off, and Alan Knight dropped Lee Sandford's cross into his own net for our equaliser.
Phil Jagielka vs Palace in 2003-4 (played second half in a 2-1 win: 1 goal conceded). Like Derry, he had little to do, as United were 2 up at HT and defended really well even after Brown got sent off. Their goal was a penalty so no blame for that. Showed good handling skills.
Phil Jagielka vs Millwall in 2004-5 (played second half - 1 goal conceded, United won 2-1)
Phil Jagielka vs Plymouth in 2004-5 (played the last hour - conceded twice in a 3-0 defeat)
Phil Jagielka vs Arsenal in 2006-7 (played last half hour - "clean sheet" in a 1-0 win)