Can you get great analog sound from analog tape?

Soundstage? Sure. Speaker/room interaction (along with the original recording) is the key factor in soundstage, so the key question is, how well does the recorder preserve the locational information on the original recording? Good reel-to-reel certainly will. Cassette's a bit dicier, since you certainly lose something with the inevitable dynamic compression.

If you're thinking more generally about "that vinyl sound," yes, a good recorder will capture that--just as it captures all the pops and clicks. :)

Since I don't own a reel-to-reel, I cannot attest to this, but I'd be a bit surprised if an analogue tape copy were truly sonically indistinguishable from the vinyl original. Whatever wires you used.

Agreed, Greg. A good tape recording of vinyl playback will certainly capture the "intrinsic qualities of vinyl," as you call them. Whereas a CD made from an analogue master tape will not. (Which just goes to show that it's not being analogue that does it; it's being on vinyl.)