I'm a beginer on the acoustic, and small hands prevent me from playing a 'B'... so here are some songs that I like without the 'B' chord. Enjoy!
U2, Chris Tomlin, Jewel, Jennifer Knapp, Barenaked Ladies, Matt Redman, Counting Crows, Snow Patrol, Sonicflood, Proclaimers, Pearl Jam, David Crowder Band, Al Green...
Taylor Swift, Anna Nalick, Fray, Josie And The Pussycats, Carrie Underwood, Kutless, Mercy Me, Dashboard Confessional and Colbie Caillat
These are songs that I like for solo acoustic.
Bob Dylan, Mississippi John Hurt, Beatles, The Beatles, Blues Brothers and Carter Family
These are songs for my band (my wife on bass and daughter on drums!)
Ramones, Beatles, Social Distortion, Johnny Cash and Matthew Sweet
Lots of good "ole songs that are pretty easy to pick up on. I have impressed many a hot chick with these years ago!
Beatles, Bee Gees, Willie Nelson, Styx, Grass Roots, Johnny Rivers, REO Speedwagon, Moody Blues, Hollies, Hank Williams, Gary Lewis, Bread, Nitty Gritty Dirt Band...
Mostly easy, some trickier but all of them excellent. If you don't know them - learn them
Oasis, Green Day, Beatles, Snow Patrol, Bryan Adams, The Monkees, Verve, Johnny Cash, Coldplay, Damien Rice, Nirvana, Queen, Rod Stewart, Five For Fighting, McFly...
Iris Dement and Simon & Garfunkel
Jefferson Airplane, Dusty Springfield, Dionne Warwick, Supremes, We Five, Four Seasons, Burt Bacharach, Elvis Presley, Badfinger, Dion, Marvin Gaye and Lettermen
Neil Young, Misc. Irish, Misc. Traditional, (Traffic version), David Gray, Traditional, Crosby, Stills, Nash & Young, Eric Clapton and Eagle Eye Cherry
For those few beginning guitar players who like ska, these are the way to go.
Reel Big Fish and Streetlight Manifesto