Probably someone already did this, but I haven't found it in any place so I did it myself: here is a list of all the Queen songs performed live by Freddie, Brian, Roger & John together, except where indicated (in these cases I have indicated the first time the song was performed).
I haven't considered the first Queen period (before 1973) where thay played probably also Jesus and The Night Comes Down and the 46664 songs (Amandla, Say It's Not True, 46664-The Call, Invincible Hope).
Please add and correct info!
Queen (1973)
01 - Keep Yourself Alive
02 - Doing All Right
03 - Great King Rat
05 - Liar
07 - Modern Times Rock'n'Roll
08 - Son And Daughter
Queen II (1974)
02 - Father To Son
03 - White Queen (As It Began)
06 - Ogre Battle
08 - Nevermore (not properly a "live version", it was recorded during a BBC session)
09 - The March Of The Black Queen
11 - Seven Seas Of Rhye
See What A Fool I've Been (b-side)
Sheer Heart Attack (1974)
01 - Brighton Rock
02 - Killer Queen
03 - Tenement Funster (performed for the first time by Roger during the Happiness? tour; there is also a version during the BBC sessions, but the instruments are pre-recorded, if I'm not mistaken)
04 - Flick Of The Wrist
06 - Now I'm Here
07 - In The Lap Of The Gods
08 - Stone Cold Crazy
11 - Bring Back That Leroy Brown
13 - In The Lap Of The Gods...Revisited
A Night At The Opera (1975)
01 - Death On Two Legs
02 - Lazing On A Sunday Afternoon
03 - I'm In Love With My Car
04 - You're My Best Friend
05 - '39
06 - Sweet Lady
08 - The Prophet's Song
09 - Love Of My Life
11 - Bohemian Rhapsody
12 - God Save The Queen (performed for the first time by Brian at the Queen's Jubilee)
A Day At The Races (1976)
01 - Tie Your Mother Down
02 - You Take My Breath Away
03 - Long Away (performed for the first time by Brian during the Q+PR tour).
04 - The Millionaire Waltz
06 - Somebody To Love
07 - White Man
08 - Good Old-Fashioned Lover Boy
10 - Teo Torriatte (Let Us Cling Together)
News Of The World (1977)
01 - We Will Rock You
02 - We Are The Champions
03 - Sheer Heart Attack
05 - Spread Your Wings
07 - Get Down, Make Love
08 - Sleeping On The Sidewalk (performed for the first time by Brian during the BTL tour)
10 - It's Late
11 - My Melancholy Blues
Jazz (1978)
01 - Mustapha
02 - Fat Bottomed Girls
04 - Bicycle Race
05 - If You Can't Beat Them
06 - Let Me Entertain You
09 - Dreamer's Ball
10 - Fun It
12 - Don't Stop Me Now
Flash Gordon (1980)
01 - Flash's Theme
12 - Vultan's Theme
13 - Battle Theme
18 - The Hero
The Game (1980)
01 - Play The Game
02 - Dragon Attack
03 - Another One Bites The Dust
04 - Need Your Loving Tonight
05 - Crazy Little Thing Called Love
06 - Rock It (Prime Jive)
08 - Sail Away Sweet Sister (performed for the first time by Brian during the AW tour)
10 - Save Me
Hot Space (1982)
01 - Staying Power
03 - Back Chat
04 - Body Language
05 - Action This Day
06 - Put Out The Fire
07 - Life Is Real (Song For Lennon)
08 - Calling All Girls
09 - Las Palabras De Amor (The Words Of Love) (performed for the first time by Queen & Zuccchero at the Freddie Mercury tribute)
11 - Under Pressure
The Works (1984)
01 - Radio Ga Ga
02 - Tear It Up
03 - It's A Hard Life
06 - I Want To Break Free
08 - Hammer To Fall
09 - Is This The World We Created...
A Kind Of Magic (1986)
01 - One Vision
02 - A Kind Of Magic
05 - Friends Will Be Friends
06 - Who Wants To Live Forever
The Miracle (1989)
04 - I Want It All (performed for the first time by Queen & Roger Daltrey at the Freddie Mercury tribute)
Innuendo (1991)
01 - Innuendo (performed for the first time by Queen & Robert Plant at the Freddie Mercury tribute)
03 - Headlong (performed for the first time by Brian during the BTTL tour)
06 - Ride The Wild Wind (performed for the first time by Roger during the Happiness? tour)
08 - These Are The Days Of Our Lives (performed for