Dave, my most important tool is a long-handled spading fork.
I have a couple of rototillers, large & small.
shovels
clippers
hoe & 4-prong cultivator
steel rake
grubbing hoe and pulaski
leaf rake
The garden where I've been the longest has never seen the tillers, that I can remember. I will spade out the soil every year or so to add amendments but if I was just to use fertilizer and well-made compost, I wouldn't need to bother with that.
A garden rake is fairly important. I use it for making the drills for sowing seed. Of course, the hoe or cultivator could serve the same purpose.
The permanent paths are packed so hard that hoeing out weeds between the beds is almost out of the question. Using the spading fork when the soil in the path is moist works best for getting those weeds out. I can also cover them with mulch.
The other tools have their uses. I mean, the spading fork isn't real suitable for raking leaves, even if it works

. I won't be using the fork for pruning the rose bushes either. I can't remember when I last used the grubbing hoe or the pulaski -- and that is just as well

.
Steve