From my experience, most critiques of Calvinism focus on soteriology, i.e., the TULIP scheme. Said critique is then carried out by examining Calvinist proof texts for their soteriology and offering counter-proof texts for another soteriology (more times than not Arminian). But this is unsatisfying for a number of reasons. The main reason I think this approach fails is because it reduces Calvinism to its soteriology. But Reformed theology is much more full-orbed than that; it encompasses an entire worldview and salvation is but a part of it.
Calvinists believe certain things about God, the world he has created, and the beings that inhabit it that in turn affect what they believe about how God has gone about his task of redeeming a chosen people. This isn’t to say that Catholics or Arminians or Orthodox don’t have presuppositions about the same things that affect what they believe about salvation as well; but it is to say that in order for a critique of Calvinism to be successful, it’s going to have to engage Calvinism as a worldview, and not simply an acronym about salvation.