The main achievement, the thing that started it all, was the idea to have a free operating system; more than that: the clear definition of what freedom in this context meant. This started 1983/1984 with the GNU project, which led to the GPL.
People only tend attribute everything to Torvalds because he's better looking and aggressively marketing himself. He has the social skills that RMS lacks. That doesn't mean his version of history is true.