The last BBC Red Dwarf was made in 1999. Hyperdrive came along a few years after that.The beeb did make another 12 episodes of Red Dwarf.
Hyperdrive fizzeled out years ago, but they're still making Red Dwarf.
I am not sure if it was made by the BBC or not, but have the three part 'Back to Earth" Red Dwarf in 2009 (which I thought was crap) and Season 10 of Red Dwarf came out in 2012. I only really like one of the 6 episodes of that (the one with Jesus in it).