Any X or T series with intel video tends to work pretty well. I've personally had great results with Ubuntu on a T410, T420, T520, T530, X1, X60 in the last few years.
I would remove the x201 from the list. It works fine with linux, but the TN screen is absolutely awful. The viewing angle is so narrow that even sited dead in front of it, I can't watch a video without some of the blacks looking wrong.
This comment was typed on my own 4-year-old x201 :)
If you're talking about the 1400x900 screen, I agree, the viewing sweet spot is nearly nonexistent. I actually swapped out the top shell of my X200s and so I could put in an AFFS panel.
(Running Mint 17.1, which broke the display popup for brightness, but curiously not for audio.)
I replaced the TN screen of my x201 with a Boe Hydis AFFS panel with IPS like viewing angles and contrast so I would _not_ remove it from the list. It's a great laptop and you can get them really cheap used (I've never bought a ThinkPad new so far).
I would remove it again, because if you don't already have an x201, you may as well buy an x220 instead of an x201 + replacement screen + labour (and the low risk you'll damage something in the swapover). You'll get slightly better specs in the deal. Looking on ebay now, x220s are only AU$100-200 more than x201s.
Anyway, if you're going to mod laptops to say that they're good, then many laptops will re-enter the fray :)