You know there's the star trek way and the star wars way, and some other ways.
In star trek they achieve ftl speeds by getting the ship into subspace by first developing that famed warp bubble, without the warp bubble, no going into subspace to do ftl travel. Star trek is going into subspace, ftl, leave subspace...at destination.
Star wars works similarly but all it's principals are relatively unheard of unless you go to
wookiepedia to find out exactly how star wars hyper drive works all the way. Anyway star wars is similar, the ships just sort jump into hyperspace for ftl, and come out of it at their destination.
After that there is yet again something similar, worm holes.
I don't know how many of you guys have seen event horizon. But the event horizon had a gravity drive that focused a narrow beam of gravitons (gravitons are still unproven to exist still...there goes star trek tractor beams out the window as well) with a focussed emp field that tears a hole in space and connects it to another point in space...pretty much creating a worm hole and travelling 0 distance to get to it's destination. Of course the event horizon ended up tearing a hole in space and our known universe opening up and entrance to hells universe (this is how event horizon is...good movie).
Anyway my point being is that in most scifi movies and series people travel at light speed or faster than light speed by not actually doing so. When you use a worm hole you travel 0 distance and it's considered an ftl travelplan, more accurately a lets-go-no-where-to-get-to-there plan. After that star trek and star wars, god knows what speed the enterprise is actually cruising at inside of subspace, but outside of subspace the speed can be calculated as time how long it took to get there. But since subspace isn't normal space, that's what i meant by god knows what speed the enterprise is travelling inside of subspace. Same for star wars ships, who knows how fast they are going inside of hyperspace itself, but hyperspace lets people cross the galaxy measured in real time in real space in minutes.
Anyway, trying to travel lightspeed or faster but being weighed down by the laws of physics. It's like the guy says in event horizon,
you can't change the laws of physics, but you can go around them. And that's quite possibly the only way in my mind that i see people going the speed of light by going around the laws of physics, such as creating a worm hole drive or something.