Absolutely love Attics. Also one Brent song that really moves me is "I Will Take You Home" first heard the Nightfall of Diamonds version a few years ago when my daughter was about four and it really pulled on the heartstrings.
Generally I like the Dead's take on country/folk songs far better than when they have a go at traditional blues. (Except some where Pig Pen was doing lead vocal) For example "It Hurts Me Too" on Europe '72 sounds pretty wimpy compared to Elmore James. I'm also not that fussed on most versions I've heard of Minglewood, Little Red Rooster or "Next Time You See Me". Their versions of Rev Gary Davis's "Death Don't have no Mercy" from Live Dead and "Samson and Delilah" from Terrapin Station are exceptions and both excellent.
By comparison I find them much more convincing on country songs like Me and My Uncle, Bobby McGee, El Paso, and particularly their acoustic stuff from Reckoning.
Also some of their Dylan covers, while great songs, are pretty ragged in performance. I would have preferred if they'd spent a bit more time getting these songs together than just trying to wing them on stage.