[Fortunex]

I love the beginning baseline in this song
 
http://www.youtube.com/watch?v=dvNXF7aGP2s

 

[rockgod213]

"Ticks and Leeches" by Tool is my go-to bass track. It's also a great test song for soundstaging. 

 

[obobskivich]

I could probably post half of my library here, but it's all electronic.

Some examples I could come up with that aren't, or aren't "as much" -

Maroon 5 - Makes Me Wonder
Azad ft Cassandra Steen - Eines Tages
The Beatles - Come Together
Sting - Windmills Of Your Mind
The Crystal Method - High Roller (might be too electronic for your tastes)
Daft Punk - Solar Sailer (might also be too electronic; neither of these is dub though)

That's what I could come up with after about 20 minutes of looking and listening. Was starting to get too electronic beyond that.

 

[bengoshi2000]

Anything on the Chick Corea Acoustik Band CD. It's jazz trio, piano, drums, stand-up bass.

Still Harry After All These Years, the Harry James Orchestra. Big Band Jazz... there's a cover of the old "Sanford and Son" theme on there that makes me smile every time I listen to it.

Diane Schuur and the Count Basie Orchestra, "I Got A Touch of Your Love" digs and grooves deep!

I know the OP said nothing electronic, but "Aerodynamic" on Daft Punk's "Discovery" CD has some jaw-dislocating sub bass towards the end of the tune. It's worth a listen, IMO.

 

[KT66]

4 string bass guitars low E isn't really that low,
 
if you want real bass............
 
http://www.youtube.com/watch?v=F9r9G0CS0BM

 

[electropop]

Anything Jaco.