Some types of hybrids make sense.
A hybrid point defense and beam weapon ship makes sense. You already have the reactors, so having a variety of beam fire controls and sensors works.
Hybrid AMM and missile ships can work, as you have flexibility in the ratio of AMM to ASM loadout, and you can get a little more AMM fire by using your anti-ship launchers.
Sticking a 1000-2000 ton hangar on a missile ship can work too, you can load with point defense fighters, fighters to run down cripples and kill them cheaply with beam weapons, you can have boarding pods for capturing slowed ships. They can scout, or pursue trap enemy fighters after those fighters have shot their box launcher load, and being a missile ship you already have magazines. Might need a larger fuel tank to support them, of course.
Another strategy is to have the philosophy that if a ship loses its weapons or has no effective weapons, you pull it back. In war games, players will commit their HQ battalions to all or nothing attacks, even when what that describes is committing the cooks and the corpsmen and the clerks ... to day to day fights.
It is worth considering what your "general purposes" are. You can have fuel efficient patrol ships that have a lot of maintenance supplies, whose role is to detect incursions and be able to wave the flag and shoot at unarmed survey ships or freighters, but are not expected to serve in the battle line.
You can have fuel guzzling ships with minimal crew space which park in orbit of a maintenance base until needed. They are NOT the ship that goes out to investigate contacts. They are the ones that surge out in response to KNOWN threats.
You could have your patrol ships have large magazines loaded with mines so they can fort up behind a warp point, and just give up any idea of them winning serious fight in open space.
Write down a list of the various purposes that you wish to have ships capable of doing, and just make sure that you have some ships for each category, or figure out how to avoid having that need.
If you have a ship capable of doing everything, it isn't going to be efficient at anything, and it will be too expensive to do everything everyWHERE.