the nt-05r is the new drag tire. the nt-01 is a road race tire. i was going to try the regular nt-05 but the 7-32 of tread and the treadwear rating stopped me from doing it. they look alot better than the 555.
if you're looking for a daily driver drag radial I'd highly recommend the Nitto 555R, i had a pair for years and they were a great street tire, didn't wear fast and were fine in the rain too.