We did a bunch of them when 5e came out and our 4e DM went on deployment. We all took turns as DM, and while a lot of fun, DM'ing an older module takes a different touch than a modern one - some DMs had issues with a number of 5e 'explain this to me with a roll' features - Insight (as mentioned), zone of truth and scrying were the worst offenders
We played (I think the module numbers are right, but these are from my notes, I don't actually have a few of these):
X4 - Master of the Desert Nomads (A)- Loads of fun. Great wilderness adventure. Currently turning it into a hexcrawl.
X5 - Temple of Death (B) - Infiltrate the bad guys lair and kill him. The bad guys are, as is, way too powerful (and have way too many magic items) for the level on the front.
WG4 - Forgotten Temple of Tharzidun (A+) - Super, super awesome dungeon crawl. Don't touch anything, especially if it's purple!
C1 - Hidden Shrine of Tamoachan (B) - Has a great atmosphere of exploring ruins. The DM that ran this adjusted a lot of the traps.
G1/3 - Against the Giants (INC) - We started this but had serious balance problems. Number and CR of monsters was way too hard for the PC level.
I1 - Dwellers of the Forbidden City (C) - Cool idea, but kind of a ho-hum adventure.
L1 - Secret of Bone Hill (A) - Another great wilderness/dungeon blend. We had a great time with this.
L2 - Assassin's Knot (B) - Fun and wholly different for the 3/4e folks. As noted earlier, too easy to work out the bad guys with 5e rules.
S4 - Lost Caverns of Tsojancth (B) - Liked it, but didn't love it. Dungeon ecology was wonky - like it was a monster zoo, going room to room killing the next thing on the checklist instead of an actual place to explore That soured it for a couple of us.
U1 - Sinister Secret of Saltmarsh (A+) - Perfect starting module.
U2 - Danger of Dunwater (A) - Another great little starting module. Sailor background is actually useful!
U3 - The Final Enemies (B) - Fun, fun, fun. We actual played the assault of the sauhagin fortress instead of having it happen off-screen.
UK1 - Beyond the Crystal Cave (C) - Liked the caves and garden, but kinda light-weight. We ripped through it pretty easy.