What the replies seem to have missed is that iRealPro is essentially the same idea as BIAB. Nothing like as powerful, but you give it a list of chords and a style and it plays you a backing track. As mentioned by the OP, iRealPro makes it easy to download a file of c1400 "standards" to get you started. This saves an awful lot of typing and something similar for BIAB could be really useful for beginners.

There are archives around. I have downloaded several over the years, but don't remember where from. There used to be "fake book" files shipped with BIAB, I'm not sure if they still are. Some of the forums here also have songs. But none of this is easy.

As requested by the OP, a simple way of getting a large number of "standards" would be quite useful for beginners.