These are part of my feel good/cardio playlist:
Simply The Best - Tina Turner
Life (will never be the same) - Haddaway
Fame - Fame soundtrack (the Original)
I Sing The Body Electric - Fame soundtrack (the Original)
Holiday - Madonna
Born To Be Wild
Come On Eileen - Dexy's Midnight runners
Believe - Cher
Last Dance - Donna Summer
Turn The Beat Around - Gloria Estefan
Dancing Queen - Abba
Mamma Mia - Abba
Shadows Of The Night - Pat Benatar
Forever Your Girl - Paula Abdul
Rocky (Gonna Fly Now) theme song
Burning Love - Elvis
Saturday Night Fever soundtrack
Plus, almost anything Disco. That genre has a strong, fast, workout beat.
These are more inspirational than with a fast beat: (But you will need warm up/cool down songs too, if working out.

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Nothing's Gonna Stop Us Now - Jefferson Starship
A New Day Has Come - Celine Dion
One Moment In Time - Whitney Houston
The Best Of Times - Styx
We Are The Champions - Queen
Man in the Mirror - Michael Jackson
(I am) Beautiful - Christina Agulliera
(I've Had) The Time Of My Life - Dirty Dancing