Here is a link to cars with carplay. I'm not sure if every version of each model has this feature:
I would guess any new car at this point has bluetooth streaming, although some interfaces are much better than others.
Do you have any preference regarding hatchback versus sedan? Do you have kids? Etc....?
I just picked up a certified pre-owned GTI and recommend them above the others if you truly want something sporting and quick, although admittedly the service costs may be a bit higher than some of the Japanese brands so there is a trade off. It has a great blend of power and efficiency. I just observed 37 mpg on a long road trip (mixed driving conditions) and get around 27-28 in city driving. I believe all GTI's now have Apple Play and you might be able to negotiate an new SE version for close to your max price.
The Mazda 3 Touring with the 2.5 liter engine would be an excellent choice as well. Nice handling chasis with a good engine. Not as fast as the GTI, but the new 3's have very nice interiors. Again, you could get the 2.5 Touring for just under $25k new. Mazda 6 is very nice if you need more room. Slightly larger, heavier car with same engine as the higher end 3, so maybe a bit slower.
Accord is always a great option, with the 4 cylindar version having similar power to the Mazda 6, which is perfectly adequate. Honda Civic is also a great option.