Needs vary hugely, so you may have to find your own.
For small notebooks, Field Notes (fieldnotesbrand.com) is the nice trendy option these days and offers some options including dot grid layouts as well as lined and graph paper. They also do special editions regularly, and are made in the USA.
For multiple sizes (including small) there are the standard Moleskine products including both their books and their "cahiers" which are basically the same thing Field Notes has. The nice thing there is that they have larger-size books, the downsides for me are that they're made in China, they're expensive(-ish, same as Field Notes), and that on the cahiers the pocket is simply a glued flap in the back which just hasn't held up for me. Their hard- and soft-cover book formats are more sturdy and the pocket is completely different.
Not as common in the US but slightly available are the Whitelines products (whitelines.se). The ones I have are a few years old and are all based on the international paper sizes (up to A4). These are printed in light grey with white lines, and in practice will probably work out much like a light dot grid.
Beyond that, there's a whole world of notebook enthusiasts that would be happy to discuss this with you ad nauseam, and of course there's a whole world of lab notebooks - maybe check out your local university bookstore to see what's available in those.