That list in the first link is ultimately what prompted this initial post. I've seen other lists, like the "official" top 30 list. That list posted by Morrus has B4, X1, U1, X2, and B2 - all of which I've run for 5e as an adult (vice playing them as a kid in the '80s). All are good. U1 is so good I'm running it for the 3rd time this week.
I've done something similar... our regular DM couldn't make a session, so I ran the Haunted House in U1 as a one shot with zero preparation, using 5E rules, converting on the fly, using a pdf of the adventure I had on a USB stick and it worked very well. It helped that I'd DMed it twice in 1E (make that 4 times now!).
When my 5E 'newbie' group finished a campaign I'd written I then converted L2, X2, X4 and X5 to 5E for them. L2 was awkward with a lot of NPCs, and got derailed by the Detect Thoughts spell being so easy to cast frequently in 5E.. they were able to narrow down the list of suspects very easily.
My players enjoyed the change of pace that X2 provided, but I tired of it. I didn't like the semi-official conversion I got online, and it was another which was hard work to convert with a lot of NPCs. Plus even though 5E combat is pretty quick, it takes longer than in BECMI, so that started to drag a little.
X4 was a revelation - the set piece nature of the early encounters worked beautifully with 5E (though I removed the Malakaz as the party had no Cleric, and replaced it with a coven of Hags), and the Evil Abbey provided some magnificent scenes. X5 ended in a near TPK when they tried to take on the Temple's Storm Giant guardian and the Master at the same time (I converted the Master to a Cleric-based Lich). It was an epic final session, with the greed of the PCs ultimately being their downfall - they delayed to go looting when they had the upper hand.... only the Rogue survived, disappearing into the sunset on the back of his Ebony Fly.
I had thought about taking a look at X10 if they were successful in X5, but decided against it. We were playing the FR, and I was able to move X4 and X5 to Anauroch, but moving/adapting all the political factions in X10 would have been too much work.
It was the fun they had playing the conversions which prompted the group to ask to play some more of the 1E modules, this time using true 1E rules.