I'm currently reading Empire of Liberty, the Oxford History of the United States volume that covers the immediate post-revolution period through 1815. The author argues that many of the original founders, including those who would later become Federalists, were appalled by what they saw the state legislatures getting up to. Some of this seems to be a matter of who was elected to office, but there are also some vague references to the laws that the states were passing (both content and quantity).
Unfortunately, the book doesn't seem to really talk about what was going on, and what exactly it was that states were doing that so offended some of the founders, and which seems to have in part led to the Constitutional Convention.
Are you talking about prior to the Constitutional Convention, and things that led to them having one? I ask because I thought that was covered at the end of the Glorious Cause while Empire of Liberty starts in the years following the Constitution's adoption.
If that's the time frame you're talking about, then the issues were varied but mostly came down to states doing things that put themselves before other states and were preventing the US from advancing as a whole. These included trade issues like states taxing goods transported through their states, trying to control rivers and traffic on them, and trying to issue their own currencies. They also included states trying to make deals with foreign nations as individual states rather than as a whole nation. This could of course be problematic if a trade partner levies different tariffs on goods from different states.
There were also other issues that led to the convention that didn't have to do with decisions made in the states like the need for federal taxes and ability to raise an army, but those aren't the state issues you're asking about.