A list of all the songs confirmed for the game. It's not every song, there's about 3 songs missing from each game, but the main ones people remember most are there.
https://www.gematsu.com/2020/05/tony-hawks-pro-skater-1-2-soundtrack-list-announced“Police Truck” by the Dead Kennedys
“Superman” by Goldfinger
“Jerry Was a Race Car Driver” by Primus
“New Girl” by The Suicide Machines
“Here and Now” by The Ernies
“Euro-Barge” by The Vandals
“Blood Brothers” by Papa Roah
“Guerrilla Radio” by Rage Against the Machine
“Pin the Tail on the Donkey” by Naughty by Nature
“You” by Bad Religion
“When Worlds Collide” by Powerman 5000
“No Cigar” by Millencolin
“Cyclone” by Dub Pistols
“May 16” by Lagwagon
“Subculture – Dieslboy + Kaos VIP” by Styles of Beyond and Dieselboy + Kaos
“Heavy Metal Winner” by Consumed
“Evil Eye” by Fu Manchu
“Five Lessons Learned” by Swingin’ Utters
Songs missing...
Tony Hawk’s Pro Skater“Screamer / Nothing to Me” by Speedealer
“Cyco Vision” by Suicidal Tendencies
“Committed” by Unsane
Tony Hawk’s Pro Skater 2“Bring the Noise” by Anthrax & Public Enemy
“B-Boy Document ’99” by The High & Mighty, Mos Def, and Mad Skillz
“Out With the Old” by Alley Life