As far as fire control goes - and we have wandered far afield from 'Early carriers - the answer is a little complicated, facts are hard to come by and opinions vary.
Really, no-one had 'good' fire control, in the sense that, in good weather and at decent range, you could expect maybe 5% to 10% of your shells to land on-target; in WW1 3% to 5% was considered decent shooting. There is a reason that battleships carry hundreds of shells, and it isn't because they need the ballast., it's because you are moving at 25 miles per hour, changing course, shooting at a target 10 miles away that is moving at 25 miles per hour and changing course. It's not that the math is complicated, it's that the possible rate of change of all of the variables turns it from science into fortune-telling.
And the ability of navies to land ordinance on-target changed significantly over time.
Here's my ranking - mostly subjective, but an informed opinion:
1) United States, probably the best from the 1930's to 1945. Decent optics, great computers*, adopted radar for surface action (thank you, Britain), well-trained crews and had a culture (almost a religion) devoted to landing ordinance on-target. Terrible at night-fighting until surface-scan radar was widely adopted. Good in 1940, great by 1944.
2) Great Britain, I think is second overall. Decent optics, decent computers, adopted radar, good crew training (not as much time devoted to gunnery practice as the US is my impression), some ships had great gunnery and others so-so. Really good at night-fighting (and gets historically little credit for it). Gunnery tended to improve as action went on. Good in 1940, good in 1944.
3) Germany. Great optics, fine computers, no ability to accurately fire by radar, started the war with great doctrine and training but this rapidly declined as good crewmen were pulled off for U-boat duty, had a culture (early on) of rapid fire and getting in the first hits; accuracy tended to decline as an action went on. Surprisingly little ability to fight at night or in bad weather. Great in 1940, terrible by 1944.
4) Japan. Great optics, decent computers, no ability to accurately fire by radar, started the war with great doctrine and training but this rapidly declined. Terrific night-fighters; began the war with excellent gunnery but rapidly declined. Great in 1940, terrible by 1944.
5) Italy. Decent optics, fair computers, no ability to fire by radar, poor crew training and gunnery practice, noted for slow rate of fire, no ability to fight at night or in bad weather. Bad in 1940, terrible in 1944. (To be fair, their light forces were generally good and well-fought, even in night-actions).
* by computers I include range-finding systems (but not the quality of optics), fire-control computers, direction control systems for salvo firing, doctrine on how to 'fire for range' and how soon to 'fire for effect' and so forth.