As other have done it, and to keep it easier for the playlist maker, I'm going to start dropping my suggestions in a single post.
"My Sweet Lord" - George Harrison - I think this thread is showing that Harrison's songwriting abilities were right up there with Lennon and McCartney.
"Peace Frog" - The Doors - Another track with a great, bouncy organ sound.
"Run Through the Jungle" - Creedence Clearwater Revival
Nice picks!
I slept on mine last night as I simply ran out of time, but George Harrison's 1970 double album
All Things Must Pass was a stunning masterpiece with hints of songs from the
Get Back sessions, and it was one I was going to lead off with, just not that song. ;-)
I'm going to instead highlight a non-single track from another of my favourite albums of all time, and a highly underrated one in a vast catalog. Released in the US in October 1970 and in the UK in January 1971, I'm going to make this one count. Lots of other songs off of this I could have Burned Down, but we'll go with a non-obvious gem.
Wiki perfectly explains the backstory for this album, so I'll let them here:
Co-writer Bernie Taupin said of the album, "Everybody thinks that I was influenced by Americana and by seeing America first hand, but we wrote and recorded the album before we'd even been to the States. It was totally influenced by The Band's album
Music From Big Pink and Robbie Robertson's songs. I've always loved Americana, and I loved American Westerns. I've always said that 'El Paso' was the song that made me want to write songs, it was the perfect meshing of melody and storyline, and I thought that here was something that married rhythms and the written word completely." John has remarked, "Lyrically and melodically, that's probably one of our most perfect albums. I don't think there's any song on there that doesn't melodically fit the lyric."
"Where To Now St. Peter?" - Elton John