308 is so versatile and easy to make run well, there are many options. Varget is the go to choice and works with bullet weights from 125 to 190. Second choice - H4895, IMR 4064, TAC, RL 15. I have not tried it yet, but plan on trying the new IMR 4166 as another option.
But start with Varget, it is worth the effort to find it.
CFE 223 is one that might work in both 223 and 308.
For subs, Trail Boss is the go to choice. It is shaped like small dough nuts to provide better fill.
I'll leave the 223/300 BO for others.