SIMPLE bass lines that make the song...

[Rossington]

Thin Lizzy - Waiting for an Alibi. If the first few notes were played on a guitar the song just wouldn't be the same. For me anyway.

[jtsjc1]

Just A Touch Of Love- Slave

[JWP]

Message in a bottle...
The Weight

[smither12]

Time by Pink Floyd
National Anthem by Radiohead
Chameleon by Herbie Hancock

[okcrum]

Time Is Tight - Booker T. & the MGs

[Batz]

Guns of Brixton- Clash
White Man in Hammersmith- Clash
Passenger- Iggy Pop
Love Song- Damned
Wait for the Blackout- Damned
Dark Asteroid- Damned
Wait and See- Stiff Little Fingers
Down in the Tube Station- Jam

[BawanaRik]

Season of the Witch

[Duke21]

Originally Posted by JWP

Message in a bottle...
The Weight

Sting is the master of tasty simple baselines!

[Roy Vogt]

How Long (Has This Been Going On)
http://www.youtube.com/watch?v=qGHiGLqhFfY
The first line I ever played while singing the lead vocal. There's a reason it's so easy!
Also Lowdown
http://www.youtube.com/watch?v=kfW_p6-p5D0

[lowsideonacurve]

Another simple, but great song;
http://www.youtube.com/watch?v=O7B5j...eature=related

[Willie Dizon]

Super Freak-Rick James
Misty Mountain Hop-Led Zeppelin
Suck My Kiss-RHCP
Mountain Song-Jane's Addiction
Tears Of A Clown-Smokey Robinson(English Beat version)
Just Like Heaven-The Cure

[FilterFunk]

Don't know if anyone's mentioned this one yet, but

"Papa Was A Rolling Stone" - Temps

[skulletwhip]

Feel Good Hit of the Summer by Queens of the Stone Age.

[808jones]

Money and Come Together are classics. Love those lines!
Here are 3 of my favorites: (that I haven't seen listed)
Hang Me Out to Dry-Cold War Kids
Sweet Emotion-Aerosmith
Waiting Room-Fugazi

[808jones]

Gratitude-Beastie Boys
Black History Month- Death From Above1979 (may not be well known, but the bass is simple and carries the song!)!

[3234718]

Dave Brubeck-Watusi Drums - 5 repeating notes of awesomeness

[air_leech]

some people here suggested Motown and Stax numbers or stuff like Brown Eyed Girl, while these may seem simple I doubt a young player can really nail down the feel of these.
I'd go with stuff like that:
Queen - Crazy little thing called love
Chic - Good Times, I need your love
Sister Sledge - we are family
Jamiroquai - Runaway
the Police - Roxanne, Message in a bottle

I know you said no RHCP but I love Soul to Squeeze - a very melodic no nonsense approach to bass line writing and the bass pretty much holds the song together. some of their recent songs are also good examples of serving the song with no pyrotechnics involved.
another hischool bassists' favorite would be RATM's Bullet in the head. helped me a lot as a teen to learn about keeping time, developing stamina and consistency of playing dynamics.

[The Impostor]

Cure - Disintegration, woah!

[Jeff K]

Just My Imagination - Temptations

[BagelBruin]

"Jesus Came from Chicago" by ZZ Top.

IT'S G ALL THE WAY THROUGH. JUST G.