Here is a list of songs that Jimi covered at various stages
(ignoring the songs written by Redding, Mitchell, Buddy Miles and the pre-Experience era)
The artist most associated with the songs if different from the writer in italics.

Hey Joe (Billy Roberts) and by Love, Byrds, Leaves, Tim Rose
Mercy Mercy – (Covay/Miller)
Like A Rolling Stone (Bob Dylan)
Can You Please Crawl Out Your Window (Bob Dylan)
All Along The Watchtower (Bob Dylan)
Drifter’s Escape (Bob Dylan)
Come On (Part One) (Earl King)
Wild Thing (Chip Taylor) – The Troggs
Gloria (Van Morrison) – Them
Sunshine Of Your Love (Bruce/Brown/Clapton = Cream (Brown was lyricist)
Bleeding Heart (James/Sehorn) – Elmore James
Catfish Blues (Robert Petway?)
Drivin’ South (Albert Collins “Thaw Out”)
Blue Suede Shoes (Carl Perkins)
Johnny B. Goode (Chuck Berry)
Sgt. Peppers Lonely Hearts Club Band (Lennon/McCarney)
Day tripper (Lennon/McCarney)
Tomorrow Never Knows (Lennon/McCartney)
Outside Woman Blues (Arthur Reynolds) – Cream
Manish Boy (McKinley Morganfield = Muddy Waters)
Rock Me Baby (BB King)
Born Under A Bad Sign (Jones/Bell) – Albert King, Cream
l’m Your Hoochie Coochie Man (Willie Dixon) – Muddy Waters
Hound Dog (Leiber/Stoller) – Big Mama Thornton, Elvis Presley
Killing Floor (Chester Burnett = Howlin Wolf)
Things That I Used To Do (Eddie Jones a.k.a. Guitar Slim)
I Was Made To Love Her -Stevie Wonder
Stop (Ragovoy/Shuman) – Howard Tate
Steal Away (Jimmy Hughes)
Tax Free (Hanssen/Karlsson)
Peter Gunne (Mancini)
Lonely Avenue (Doc Pomus)
Tears Of Rage (Bob Dylan/Richard Manuel)
Dear Mr Fantasy (Winwood/Capaldi/Wood =Traffic)
Little Drummer Boy (Traditional)
Silent Night (Traditional)
Auld Lang Syne (Traditional)
Star Spangled Banner (John Stafford Smith)
God Save The Queen (Traditionnel)