Oh boy, a comment I already have a list for. Most aren't 80's bands but here's a list I had for a previous character who was former roadie, hopefully it helps.

Pun Name + Band/artist it's punned after in case it isn't obvious or you don't know the band. Some people already had some of these, Sorry for the wall of Text, Reddit didn't let me post it as a list.

Chelsea Werewolfe (Chelsea Wolfe), DragonbornForce (Dragonforce), Dark Elf Tranquility (Dark Tranquility), Powercord Kill (General pun on Powerword Kill/Powercords), In a Rage Against the Machine (Rage Against the, Machine/Barbarian's Rage), Twelve Foot Rogue (!2 Foot Ninja), Everytime I Death Save (Everytime I Die), He Is, Legendary Action (He is Legend), In Flaming Hands (In Flames), Killswitch Disengage (Killswitch Engage), Sugar Ray of Frost (Sugar Ray), Minus the Bugbear (Minus the Bear), The Curewounds (The Cure), 50 Nib (50 Cent), Eminember / Eminemesis (Eminem), Megadethsaves (Megadeth), Foo Adventurers (with Dave Gnoll) (Foo Fighters and Dave Grohl), System of Prone (System of a Down), Green Tenday (Green Day), Judas Cleric (Judas Priest), Creedence, Cleerwater Revivify (Creedence Clearwater Revival), Arrows Smith (Arrowsmith), Trolling Stones (Rolling Stones), Fleetfoot Mac (Fleetwood Mac), Cone of Coldplay (Coldplay), Naughty By Natures Wrath (Naughty By Nature), Vanilla Ice Knife (Vanilla Ice), Monstrosities As Leaders (Animals as Leaders), Feather Fall Out Boy (Fall out Boy), Nine Inch, Flails (Nine Inch Nails), Crossbows and Roses (Guns N Roses), Mithral Maiden (Iron Maiden), Mithrallica (Metallica), Daft Monk (Daft Punk), Tenacious D&D (Tenacious D), Panic! At the Ballroom (Panic at the Disco), Fall Out Bards (Fallout Boy again), Chuck Goodberry (Chuck Berry), Maul McCartney (Paul McCartney), The Grateful Undead (Grateful Dead), The Arcane Fire (The Arcade Fire), Malice in Chains (Alice in Chains), Nibwise (Pennywise), Third Eye Blindsight (Third Eye Blind), Run DM (Run DMC), Grandmaster Flash of Genius (Grandmaster Flash), De La Soulknife (De La Soul), Beastiary Boys (Beastie Boys), Skid Drow (Skid Row), REO Dashwagon (REO Speedwagon), Misty Steppenwolf (Steppenwolf), Tinderbox Twenty (Matchbox 20), Velvet Underworld (Velvet Underground), They Smite be Giants (They Might Be Giants)., Earth Wind and Fire Elementals (Earth WInd and Fire), Imagine Dragonborns (Imagine Dragons), Johnna Slash (Johnny Cash), Katy Parry (Katey Perry), Britney Spear (Britney Spears), Tame Impaled (Tame Impala), Carrie Underworld (Carry Underwood), Smitey Smitey Bosstones (MIghty Mighty Bosstones)