Yes; I've used Michelin cross climates for years and think they're fantastic.
In this cold snap I've just switched out the Michelin primacys the galaxy was wearing on the front, for a pair of Goodyear Vector4 and I've gone from "not being able to get up my driveway" to "being able to get up my driveway" - that's the same car, same driveway, same ice and about an hour between the tyre changes; I've a tyre machine and do all my own changes. The winter and all season tyres are notably and obviously different from summer tyres in various ways, all mentioned here already