This can be anything from Hyperspace in Star Wars, Warp Drive in Star Trek, travel through the Warp in Warhammer 40k or anything else.
I’ve always liked “slow” FTL travel, where going a few light-years still takes a few days or so. I also really like travel through an alternate dimension like in 40k, Event Horizon, Witchspace in Elite Dangerous.
I wanna know your favorite versions, or do you prefer stories that obey the laws of known physics, like the Expanse or Rimworld?
Hyperdrives, sg1,sga,sgu. wormholes, and interdimensional teleportation, bsg is one such one. Warp is basically just "manipulating the space around it, using subspace(an alternate dimension for both sg1 and star trek). apparently its the slowest form of ftl. compartively to the likes of borg. even caretaker has a very advanced intergalactic ftl( interdimensional rift) later in sg1,sga, they have access to intergalatic hyperdrives which are superior to interstellar ones. with hyperdrives they arnt restricted to the limit of travelling faster than light speed in the normal universe. they explained hyperspace does not have such a limit, and isnt subjected to time dilation effects of approaching close or faster than light speed.
it seems ftl that requires traveling through a medium like warp hyperspace have limitation of power requirements and engine designs. Teleportation seems dont have that limit, aside from power requirements.
trek also have other form of quirky ftl, like the vortex drive of the xindi, coaxial and the rift generation. most other shows use teleportation, or interdimensional portals.