I think Apollo trumps Mir/Salyut/Almaz, and I think Voyager 2 alone trumps the entire Soviet unmanned space program, even the Venera missions. As does COBE, for that matter.
Edit: which is to say, that while the Soviets may have made impressive contributions to science in the form of the peaceful exploration of space the idea that their contributions outclassed those of the US is simply preposterous.
And as far as Russia being about research and the US being about militarizing space (which you seem to suggest upthread), I'd remind you that the Russians (as far as I know) were the only country to arm one of their space stations and test fire the weapon[1]: To suggest that either the US or Russia weren't keenly interested in using space as leverage against the other, as well as in scientific exploration, is probably not taking the entire picture into consideration.
[1]http://en.wikipedia.org/wiki/Almaz
... and yes, having more than one space station puts a check in the Russian column.
But on the bright side we did prove that telepathy doesn't work on the moon at all.
Meh, the Soviets sent all kinds of robots to the moon. Orbiters, landers that made pictures, moon rovers, three robots that sampled soil and returned it to earth... Not too shabby I'd say.