Legendary American grandmaster Sammy Reshevsky was a positionally-minded Nimzo-killer. I've worked on a complete anti-Nimzo repertoire according to Reshevsky, based on 1.d4 Nf6 2.c4 e6 3.Nc3 Bb4 4.e3 intending simply Nge2 and then a3 with play akin to the Queen's Gambit rather than the ultra-sophisticated Nimzo lines. This repertoire is new and a work in progress, but I've uploaded my anti-Nimzo repertoire according to Reshevsky. Or you can snag the PGN below. This approach seems to me to be classically sound and not overly difficult to play.
I'm new to all this 1.d4 stuff, so I'd love to get feedback from those with more experience/knowledge.