P
In Flames - Pinball Map (Melodic Death Metal, 2000)
Alice Cooper - Poison (Hard Rock, 1989)
Jason Paige - Pokémon Main Theme (Rock, 1999) - sorry, but the full version of this song is fucking great
Nada Surf - Popular (Indie, 1996)
Falconer - Portals of Light (Power Metal, 2002)
Rhapsody - Power of the Dragonflame (Power Metal, 2002)
Heyley Westenra - Prayer (Pop, 2005)
Slaughter - Prelude (Instrumental Metal, 1995)
Dragonforce - Prepare for War (Power Metal, 2004)
Sabaton - Primo Victoria (Power Metal, 2011)
Avantasia - Promised Land (Power Metal, 2008)
Altaria - Prophet of Pestilence (Power Metal, 2004)
KISS - Psycho Circus (Hard Rock, 1998)
Dark Tranquillity - Punish My Heaven (Melodic Death Metal, 1995)
Dimmu Borgir - Puritania (Black Metal, 2001)
Q
N/A - no songs beginning with Q! I'll just add extras to R and S to compensate, as there will no doubt be plenty of great songs under both letters.
R
Percival - Raise Your Arms (Power Metal, 2021)
Arch Enemy - Ravenous (Melodic Death Metal, 2001)
Altaria - Ravenwing (Power Metal, 2002)
Rise Against - Re-Education (Through Labour) (Punk, 2008)
Avantasia - Reach Out For the Light (Power Metal, 2001)
Rise Against - Ready to Fall (Punk, 2008)
Republica - Ready To Go (Indie, 1996)
Eazy-E - Real Muthaphuckkin G's (Rap, 1993)
Gamma Ray - Real World (Power Metal, 2007)
Nitrate - Renegade (Melodic Rock, 2021)
Sonata Arctica - Replica (Power Metal, 1999)
In Flames - Reroute to Remain (Melodic Death Metal, 2002)
Battle Beast - Resurrection By Erection (Powerwolf cover) (Power Metal, 2018)
Saliva - Rest in Pieces (Indie, 2002)
Edguy - Return to the Tribe (Power Metal, 2006)
Dragonforce - Revelations (Power Metal, 2003)
Septic Flesh - Revolution (Melodic Death Metal, 1999)
Dragonforce - Revolution Deathsquad (Power Metal. 2006)
Two-Mix - Rhythm Emotion (J-Pop, 1995)
Freedom Call - Riders in the Sky (Power Metal, 2016)
Edge of Thorns - Riders of the Storm (Power Metal, 2004)
Duran Duran - Rio (Pop, 1982)
Freedom Call - Rise Up (Power Metal, 2001)
Shoji Meguro & Lyn - Rivers in the Desert (J-Pop, 2017)
Something Corporate - Ruthless (Indie, 2003)
S
In Flames - Satellites and Astronauts (Melodic Death Metal, 2000)
Duran Duran - Save a Prayer (Pop, 1982)
Rise Against - Saviour (Punk, 2008)
Paradise Lost - Say Just Words (Alternative Metal, 1997)
Miley Cyrus - See You Again (Pop, 2007)
Soilwork - Shadowchild (Melodic Death Metal, 2000)
The Halo Effect - Shadowminds (Melodic Death Metal, 2022)
Avantasia - Sign of the Cross (Power Metal, 2001)
Dark Tranquillity - Single Part of Two (Melodic Death Metal, 2002)
Hypocrisy - Slave to the Parasites (Melodic Death Metal, 2004)
Devin Townsend - Slow Me Down (Melodic Metal, 2003)
Michael Jackson - Smooth Criminal (Pop, 1987)
Soilwork - Soilworker's Song of the Damned (Melodic Death Metal, 2002)
Kamelot - Soul Society (Power Metal, 2005)
In Flames - Sounds of a Playground Fading (Alternative Metal, 2011)
Tears for Fears - Sowing the Seeds of Love (Pop, 1989)
Soilwork - Spirits of the Future Sun (Melodic Death Metal, 2000)
In Flames - Square Nothing (Melodic Death Metal, 2000)
Eminem - Stan (Rap, 2000)
In Flames - Stand Ablaze (Melodic Death Metal, 1994)
Dragonland - Starfall (Power Metal, 2004)
Dragonforce - Starfire (Power Metal, 2003)
In Flames - Starforsaken (Melodic Death Metal, 1994)
Oasis - Stop Crying Your Heart Out (Pop, 2002)
Europe - Stormwind (Melodic Metal, 1984)
In Flames - Suburban Me (Melodic Death Metal, 2000)
Laura - Supersonic (Pop, 2016)
ELO - Sweet Talking Woman (Pop, 1977)
Beast in Black - Sweet True Lies (Power Metal, 2019)
In Flames - System (Melodic Death Metal, 2002)
Malice Mizer - Syunikiss (Rock, 1998)
So here's the deal with T - I'm going to separate into songs beginning with T, and then give a separate section for songs beginning with "The", as there's going to be loads of them, so many that I probably won't impose a limit.
T
Edguy - Tears of a Mandrake (Power Metal, 2001)
ELO - Telephone Line (Pop, 1976)
Power Quest - Temple of Fire (Power Metal, 2003)
Iced Earth - Ten Thousand Strong (Power Metal, 2007)
Amber - This Is Your Night (Pop, 1996)
Dark Tranquillity - Through Ebony Archways (Melodic Death Metal, 1993)
Arimachi Masahiko - Through the Night (J-Pop, 1998)
Dimension Zero - Through the Virgin Sky (Melodic Death Metal, 1997)
Iron Saviour - Titans of Our Time (Power Metal, 2002)
Rise Against - To Them These Streets Belong (Punk, 2004)
Sakakibara Yui - Tokitsukasadoru Juuni no Meiyaku (J-Pop, 2011)
Alestorm - Treasure Chest Party Quest (Pirate Metal, 2020)
In Flames - Trigger (Melodic Death Metal, 2002)
Amaranthe - Trinity (Power Metal, 2014)
Allen-Lande - Truth About Our Time (Power Metal, 2005)
The
Ancestral - The Ancient Curse (Power Metal, 2007)
Soilwork - The Bringer (Melodic Death Metal, 2002)
The Agony Scene - The Darkest Red (Metalcore, 2005)
The Black Mages - The Decisive Battle (Instrumental Metal, 2003)
Elvenking - The Divided Heart (Power Metal, 2007)
In Flames - The End (Alternative Metal, 2016)
Iron Fire - The End of It All (Power Metal, 2001)
Freedom Call - The Eyes of the World (Power Metal, 2002)
Europe - The Final Countdown (Hard Rock, 1986)
Avantasia - The Final Sacrifice (Power Metal, 2001)
Shadows Fall - The First Noble Truth (Metalcore, 2000)
Allen-Lande - The Forgotten Ones (Power Metal, 2005)
Kamelot - The Fourth Legacy (Power Metal, 1999)
Poisonblack - The Glow of the Flames (Gothic Metal, 2003)
HIM - The Funeral of Hearts (Gothic Metal, 2003)
Metallica - The Four Horsemen (Heavy Metal, 1983)
Avantasia - The Glory of Rome (Power Metal, 2001)
Kamelot - The Haunting (Somewhere in Time) (Power Metal, 2005)
In Flames - The Hive (Melodic Death Metal, 1997)
In Flames - The Jester Race (Melodic Death Metal, 1996)
Dagoba - The Man You're Not (Groove Metal, 2006)
Dark Tranquillity - The New Build (Melodic Death Metal, 2005)
Amaranthe - The Nexus (Power Metal, 2013)
Soilwork - The Nurturing Glance (Melodic Death Metal, 2019)
Riya - The Palm of a Tiny Hand (J-Pop, 2004)
Visions of Atlantis - The Poem (Power Metal, 2007)
In Flames - The Puzzle (Alternative Metal, 2011)
In Flames - The Quiet Place (Alternative Metal, 2004)
Eminem - The Real Slim Shady (Rap, 2000)
Sonata Arctica - The Ruins of My Life (Power Metal, 2003)
Avantasia - The Seven Angels (Power Metal, 2001)
Porcupine Tree - The Sound of Muzak (Prog Metal, 2002)
Avantasia - The Story Ain't Over (Power Metal, 2008)
Dark Tranquillity - The Treason Wall (Melodic Death Metal, 2002)
Ayreon - The Truth is in Here (Prog Metal, 2008)
Metallica - The Unforgiven (Heavy Metal, 1991)
Eminem - The Way I Am (Rap, 2000)
Shoji Meguro & Lyn - The Whims of Fate (J-Pop, 2017)
Avantasia - The Wicked Symphony (Power Metal, 2010)
Yuki Kajiura - The World (Celtic, 2002)
Arch Enemy - The World is Yours (Melodic Death Metal, 2017)
Still Remains - The Worst is Yet to Come (Melodic Death Metal, 2005)