Forms of FTL travel in fiction

Warp drive - Creates a bubble of space-time, contracting space time ahead and expanding it behind.
 * Star Trek - Warp drive
 * The Orville - Quantum drive
 * Steven Universe - Gravity Engine
 * SCP-2117/SCP-2669 - Warp drive
 * Another Life - FTL
 * Elite: Dangerous - Supercruise

Hyperdrive - Travels through a different dimension where the speed of light is higher or the other dimension might be smaller, allowing faster travel
 * Star Wars - Hyperdrive/Hyperspace
 * Animorphs - Z-Space
 * Warhammer 40,000 - The Warp
 * Stargate Frnachise - Hyperdrive/Hyperspace
 * Andromeda - Slipstream
 * Babylon 5 - Hyperspace
 * Event Horizon - Hell
 * Halo - Slipstream Space
 * Evolve - Cherenkov space
 * Steven Universe - Warp Pad/Warp Space
 * Elite: Dangerous - Hyperdrive/Hyperspace

Jump drive - Fold space to go from one spot to another instantly.
 * Battlestar Galactica - FTL Drive
 * Dune - Space travel/Spacefolder

Wormhole - Creates a hole that links two separate points in space-time.
 * Independence Day - Wormhole
 * Stargate Franchise - Stargates
 * Interstellar - Wormhole
 * The Expanse - Ring network
 * MCU - Universal Neural Teleportation Network, Bifrost Bridge, Devil's Anus, Space stone, Convergence, and Sling Ring
 * Rick and Morty - Portal Technology
 * Contact - Wormhole
 * Subnautica - Phasegate

Tachyons - Transforms a ship and/or person into tachyons and transforms them back to their original state when they arrive at their destination.
 * Ben 10 - Hyperspace Jump Gate

Unknown
 * Stargate Franchise - Faster-Than-Light engine
 * MCU - Light-Speed Engine
 * Rick and Morty - Concentrated Dark Matter

Final Space
 * Lightfold Engine - "The Lightfold Engine involves having the Drive "bend" the light it emits at a speed so fast, it literally bends the gravity and space it occupied, immediately propelling the ship to its destination. This is accompanied by a colorful spinning vortex of light every time the ship "lightfolds"."
 * Drop Drive - "Basically they phase out of reality so they can travel through anything."

Hitchhikers Guide to the Galaxy
 * Infinite Improbability Drive - "A device that takes you to every possible position in every possible universe and eventually picks one to dump you at. Could be anywhere, and you could be anything when you emerge."

Futurama
 * Dark-matter engine - Moves the universe around the ship.
 * The speed of light was increased in 2208.