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Leggo My Meg-O
The episode of "Family Guy" in which Meg drowns is titled "The Boys in the Band." It is the 3rd episode of Season 14. In this episode, Meg accidentally falls into a pool during a party, leading to various humorous and dramatic situations involving the Griffin family and their friends.
Dial Meg for murder, season 8
season 4 episode 12
Road to Rupert
its called And the Wiener Is... its Episode 5 on Season 3
Season 4|Episode 13 Jungle Love
yep, can't specifically remember the episode, but one story of the episode was Meg trying to fit in with the lesbians
That would be "Not All Dogs Go To Heaven"
In "Barely Legal"
Well... since there is no such episode where Meg & Peter loved the same band you'll have to change Meg to Haley, Peter to Stan and Family Guy to American Dad and the answer to your question is "My Morning Jacket"
Technically Meg doesn't start it but that aside, it's 'Don't Make Me Over'