The only polishes I have ever used are the Adams 3 step and then the newer 2 step correction and finishing polishes. I use them on my HF DA polisher with the CG hex logic pads.
For tire and trim shine, I like the Adams SVRT, but it's too damn expensive for me. I find that the Chemical Guys VRP dressing is almost the same. It's way cheaper, but it's a bit more glossy. If you put too much on it will shine like a silicone based dressing. So I only put one coat or I wipe it down some after applying it.
I like the Stoner Trim shine for hard to reach black plastics like the grill or wiper cowl, and the engine compartment too. It's an aerosol spray trim shine that is not greasy once it dries. It's nearly identical to the Adams In & Out spray, but for about half the price. For soap, I use Adams car shampoo. For APC, I use Adams APC, but I'm trying to find a cheaper alternative that works just as good and isn't a strong caustic chemical that will burn my skin and lungs.
The CG APC that I tried was too caustic, even after diluting it. I will be trying the SCG APC soon.
As far as wax, the only one I have used is Meguirs Gold Class (parts store version which isn't the best) and Adams Machine Sealant, and Adams Buttery wax. I haven't tried any other brands yet because I still have a good bit of the Adams stuff left and I have no complaints about it. But when I run out, I'll be trying other brands.