You seem to be referring to "Rockollection", performed by Laurent Voulzy and written by Alain Souchon. The Wikipedia article on "Rockollection" has an extensive listing (quoted heavily below) of the English-language songs that appear in the original 1977 version (of which a recording is presently available on YouTube)
- "The Loco-Motion": Little Eva
- "A Hard Day's Night": The Beatles
- "I Get Around": The Beach Boys
- "Gloria": Them
- "(I Can't Get No) Satisfaction": The Rolling Stones
- "Mr. Tambourine Man": Bob Dylan
- "Massachusetts": Bee Gees
- "Mellow Yellow": Donovan
- "California Dreamin'": The Mamas & the Papas
and in a 1994 live version
- "The Loco-Motion": Little Eva
- "Ticket to Ride": The Beatles
- "A Hard Day's Night": The Beatles
- "Fun, Fun, Fun": The Beach Boys
- "I Get Around": The Beach Boys
- "You Really Got Me": The Kinks
- "Gloria": Them
- "Let's Spend the Night Together": The Rolling Stones
- "Jumpin' Jack Flash": The Rolling Stones
- "(I Can't Get No) Satisfaction": The Rolling Stones
- "Mr. Tambourine Man": Bob Dylan
- "Massachusetts": Bee Gees
- "Stayin' Alive": The Bee Gees
- "No Milk Today": Herman's Hermits
- "Pinball Wizard": The Who
- "Wild Thing": The Troggs
- "California Dreamin'": The Mamas & the Papas
- "Message in a Bottle": The Police
and in a 2004 live version
- "The Loco-Motion": Little Eva
- "From Me to You": The Beatles
- "Day Tripper": The Beatles
- "A Hard Day's Night": The Beatles
- "Fun Fun Fun": The Beach Boys
- "I Get Around : The Beach Boys
- "Gloria": Them
- "Paint It, Black": The Rolling Stones
- "(I Can't Get No) Satisfaction": The Rolling Stones
- "Mr. Tambourine Man": Bob Dylan
- "Massachusetts": Bee Gees
- "Night Fever": Bee Gees
- "Superstition": Stevie Wonder
- "The Boxer": Simon & Garfunkel
- "Venus": Shocking Blue
- "Sunny Afternoon": The Kinks
- "California Dreamin'": The Mamas & the Papas
- "On the Road Again": Canned Heat
- "Owner of a Lonely Heart": Yes
- "Message in a Bottle": The Police
and in a 2008 version
- "Da Doo Ron Ron": The Crystals
- "I Want to Hold Your Hand": The Beatles
- "Ticket to Ride": The Beatles
- "No Milk Today": Herman's Hermits
- "With a Girl Like You": The Troggs
- "Oh, Pretty Woman": Roy Orbison
- "Paint It, Black": The Rolling Stones
- "Ruby Tuesday": The Rolling Stones
- "Jumpin' Jack Flash": The Rolling Stones
- "(I Can't Get No) Satisfaction": The Rolling Stones
- "Turn! Turn! Turn!": The Byrds
- "L'Amour avec toi: Michel Polnareff
- "Massachusetts (song)": The Bee Gees
- "How Deep Is Your Love: The Bee Gees
- "Night Fever": The Bee Gees
- "More Than a Woman": The Bee Gees
- "Eleanor Rigby": The Beatles[3]
- "Good Vibrations": The Beach Boys
- "Substitute": The Who
- "Penny Lane": The Beatles
- "Sunny Afternoon": The Kinks
- "California Dreamin'": The Mamas & the Papas
I don't speak French, but the in-between music is apparently "a nostalgic first-person recollection of what is presented as a typical 1960s French adolescence", per that same Wikipedia article.
There might be other songs that are quoted in there musically but not lyrically, of course. For example, near the end of the 1977 version, I heard a quick quotation of "Get Back" by the Beatles (just that very distinctive, recognizable two-chord bit that leads strongly into the verse of "Get Back"); can't find it again right now, because the ending goes on for so very long. Anyway, I'll bet there are more musical quotations which I didn't spot (riffs and stuff) scattered throughout "Rockollection".