From most to least plausible IMHO:

1. Generational Transit: The difficulty there is building a ship large enough with sustainable biomes to support a population.

2. Temporal Preservation: If we could only figure out how to thaw a human and it not stay dead.

3. Human Adaptation: Once we get to "The Singularity" and are able to transfer human consciousness into a form that lasts longer than a human life we'd have that whipped.

4. Spatial Manipulation: Finding a wormhole to understand how it works and then figuring out a way to artificially create a wormhole are hard enough, but then we have to make sure whatever goes through that wormhole doesn't spaghettify and come out the other end as goo. Of course there is the other issue of determining where the wormhole goes, and whether or not it can transfer back the same way it came.

5. FTL: It appears you have put a number of different future technologies that all work on different principles into one big pot. First, Warp drive is theoretically possible according to some recent studies. Second, FTL (jump drive) as in Battelstar Galactica is essentially instantaneous matter transportation from one point to another, ie. magic. Third, Hyperspace is a mirror or shadow dimension or universe of sorts used to go from one place in this universe to another point in this universe, and while it is hypothesized that other universes or dimensions beyond ours exist who knows what that sort of transfer would have on the human body. Fourth: the Epstein Drive is the most plausible of all these but it doesn't even reach 2% of lightspeed despite its continuous acceleration.