For Accuquilt cutting, I really appreciate the oddly shaped dies (tumbler, hexagon, circle) and the triangle dies. For the triangles, all corners are cut off for you so it makes matching them really easy, plus you can cut a lot of triangle pieces at a time.
I'm actually not that keen on the strip dies because I usually want to use strips in scrappy ways. The strip dies work well if you need a lot of strips in the same fabric. I usually prefer using the June Taylor Shape Cut mat for cutting strips.