You should keep an eye on your nitrates and phosphates levels and aim to keep your alkalinity between 7.5 and 11. Magnesium is a mineral that varies slowly yet is very significant. If you have hard corals, calcium is also crucial.
You may test for a variety of things, but some are only useful if you have specific items in your tank.
These settings vary as your system ages, and you must adjust what you're doing.