Latest Redux session, and my replays:
Manic 11 "Where Lemmings Dare" - 4 builders (replays attached for no blocker, no basher, no miner, no digger)
Manic 12 "Steel Block Party" - 1 basher, 1 digger (no-builder is Proxima's result)
Manic 13 "Upside-Down World" - 1 basher, 1 miner (replays attached for no climber, no builders, 1 basher)
Manic 14 "Come On Over To My Place" - 1 builder
Manic 15 "The Silence Of The Lemmings" - 2 bombers, 1 builder, 1 basher (replays attached for 2 bombers, no blocker, 1 basher)
Manic 16 "A BeastII Of A Level" - 6 builders (replay attached, though it's not very hard)
Manic 17 "Just a Minute" - 2 bashers, 1 digger (replay attached; we suspect this is improvable to 1 basher but can't be bothered confirming it as it's really fiddly)
Manic 18 "The Gate Trap Lemmings" - 2 builders, 1 basher, 1 digger (I did get a 1-basher replay, but Proxima produced a much tidier one)
Manic 19 "Poles Apart" - 4 builders, 2 bashers (replays attached for no climbers, 4 builders, 2 bashers, no diggers)
Manic 20 "Fall and No Life" - 1 floater, 3 builders, 1 basher, 1 miner
Manic 21 "Electric Circuit" - 1 builder, 1 basher, 1 digger (replay attached for 1 builder; 1 digger is Proxima's result)
Manic 22 "It's Not Over 'Til It's Over" - 2 builders, 1 miner, 1 digger (replay attached for 2 builders; 1 digger is Proxima's result)
Manic 23 "Old MacDonald Had A Farm" - 2 blockers, 3 builders (replays attached for no floaters, 2 blockers, 3 builders)
Manic 24 "The Race Against Cliches" - 1 builder, 1 basher (replay attached for no diggers; the rest is Proxima's results)
The results for Manic 19, 23 and 24 here also ended up improving the DOS results too.
EDIT: Proxima's 1 digger on Manic 22 was a miscommunication. However - after realising this, I managed to do 1 digger myself. Replay attached.
Mod Edit: Because "Where Lemmings Dare" has moved to Manic 31 in the updated version of Lemmings Redux, this level's attachments are now separate from the original ZIP file, and its number has been updated accordingly.