Any non electric 4 speed autos for a 360 mag out there?

If you want to run the A500 automatic transmission, Treblig has got his de-bugged, just follow the recipe.

If you want to run a 4-gear manual trans, you have several options, any of which will easily take anything your 360 can dish out. You gotcher basic A833 with a 2.66 low, or the early one with a 3.09 low. And then you got the 3.09low, 3+1, overdrive box. Each of these is best-suited to a particular application, so the rest of the combo plays a very significant role.
Here are some examples,
>the 3+1 is best suited, IMO, to a torquey low-rpm, stockish type engine, or one with lots of cylinder pressure.
>The 3.09 low works really well in a combo that has a soft bottom end, like a 318 @7.8Scr with a 340 cam. But you have to pay attention to second gear with that one.
>The 2.66 works for justabout everything else.
Most of these will need to be matched to your application with rear gears.
For instance, the 3.09lows do not need 4.30 rears, even with soggy 318s. A hi-compression 360 will be happy with a 2.66 box and 3.55s, and even less in some/many applications.
If you want to run a hiway gear, then the 3.09 lows come into play.
And the overdrive box can make fabulous fuel mileage with an engine built to do that. But you can't make a silk-purse out of a 292 cammed 318 at 7.8Scr no how. Some combos are best left on the drawing board.Or better yet, just never even dreamed up.