I'm a fan of multi-head/multi-tap stuff mostly. I want the interaction of delay on delay, set so that it fades into a wash of repeats but vanishes or sandwiches in on fast stuff.
Slapback I have little use for - if I want invisible delay, I can just use ducking stuff.
But realistically, there's delay and there's delay for me - either as a thickener or as "oh, that's delay, can't miss it"
I'm also fond of actual tape delay for the ability to overdrive the tape so the delay has more grit than the clean. I can do it with the patchbay and a pile of extra stuff, but it's so easy to do on the tape that it's criminal and I can do it mid-pass.
And sometimes I multitrack and play the delayed stuff as well, I learned to do it without multitracking years ago when I couldn't necessarily afford a pile of delays and it was ok to learn things and play pieces where I'd just play triple or quad notes with varying attack to net the same thing.
All of the above are present and in force here:
http://rfurtkamp.bandcamp.com/track/small-pebbles[edit: apparently the bandcamp tag doesn't work for crap!]