What levels could be beaten with no more than one of each skill?

[Dullstar]

Pretty good.  Maybe I can try and improve on these, though can't be sure....

By the way, where can I get the XMAS lemmings games?

[Minim]

I like this challenge, so I did a run through of all the levels to see which can be solved 100% (Thanks to Clam for the list)

I've solved most of the Original Lemmings levels. Here's a list of the ones I couldn't solve.

Fun 3, 12, 17, 25, 27
Tricky 20, 23, 28
Taxing 6, 22, 24
Mayhem 4

[Minim]

OK, 100% results for Oh No, although I have a feeling that some can be improved.

Tame: All except 13 and 19
Crazy: 1-3, 7, 13
Wild: 1, 6, 8-9
Wicked: 5, 16, 17
Havoc: 4, 6 and 10

I came close on Crazy 19 and Wild 20, but not close enough. I used all 7 skills to get 100% on Wild 17.

[namida]

Like most challenge topics, this one's missing Covox and Prima, so I decided to have a go with Covox.

Fun 1 and Mayhem 2 I can confirm are possible. Both aren't obvious but aren't too hard either. The rest all seem to be impossible.

[namida]

And now, Prima.

Fun
1: Obviously possible since it doesn't give you more than 1 of any skill.
2: Same logic applies here.
3: That logic doesn't quite apply, but the level is still quite simple to do with 1 of each.
4: Also quite easy to see is possible with actual 1-of-each (but not when further also limited to the skills the level gives).

Tricky
1: Quite obviously not possible. Too many obstacles to get past.
2: Quite obviously possible.
3: Possible even when limited to the existing skillset (but limited to 1 of each).
4: Also possible even with the existing skillset. If you give *all* skills, it's not just possible, it's trivial.

Taxing
1: Obviously not possible as many builders are required.
2: Possible with existing skillset, though requires good knowledge of the level (or lots of trial-and-error). Trivial with actual 1-of-all.
3: Doesn't seem to be possible.
4: Obviously not possible as at least two (maybe three?) builders are required.

Mayhem
1: Only gives you one of each skill at most, so clearly possible.
2: Obviously not possible. Requires either an unsaveable blocker to turn around (and the level needs 100%), or multiple builders.
3: Very trivial, though not possible with the existing skillset.
4: Not possible due to needing multiple builders.

So the final list for Prima is:
Fun: All
Tricky: 2, 3, 4
Taxing: 2
Mayhem: 1, 3

[Mariachi Skeletron Prime]

Er?
I'm pretty sure Lemmingology is possible...
I'd have to check that. Dunno if you need 100% or 80%

[Proxima]

There are two gaps where you need a builder.

Thanks for the Covox and Prima results; I'll add those to Clam's results post.