I saw The Dubliners a few years back, not a bass in sight, no drums either. Lot's of singing and drinking, songs included Black Velvet Band, Seven Drunken Nights, The Wild Rover, Phil the Fluter's Ball and the most upsetting one of the night The Pub with no Beer.
The Clancey Brothers, Tim Finnegan's Wake has no bass in it either (thinking about it I don't know if any of their songs have a bass in it).
Syd Barrett, Dark Globe. I prefer the Placebo version basically because the guitar is in time with the vocals.
I could go on all night, Nick Drake is another.