Rail shooters can be done right, actually most (if not all) of those game genres can be done right, but some can be trickier than others, or simply are too simple for people to actually take a risk (the parachute one seems just..... empty as I see it)
Games with any sort of time travelling concepts (light or not) are not the rarest thing in the world when we look back (Braid of course, but also oracle of ages (which also had a dungeon you had to explore both in the past and the present to finish) and ocarina of time, the sand of time quadrilogy (with the rewind but also warrior within had a Past and Present mechanism, but it added nothing) just to name a few).
It may be that I am kind of out of sync with gaming (games are harder to enjoy without any nostalgia to back it up, I mean look at a link to the past, I simply can't find it interesting while I can play the game boy zeldas without any sensation of boredom) but I think there is not an actual lack of any game genres.
I wonder however, weren't for some of them somekind of copyrighted mechanism (that exists) that may have prevented the fact others could've shown up easily in the past?