LM387 is just a really old, ordinary op-amp as far as I can tell. It has a funny pin configuration, so if you have a PCB already made you need to make modifications. I suggest cutting the traces, scraping off the solder mask, and soldering wires in place with the right layout. Look for datasheets on the internet for the pin configuration. For old stuff Google, for modern stuff I prefer an online reseller like Mouser. Datasheets are free even if you don't buy the part.
Any cheap opamp will work. TL072 is very common. NE5532 is also not hard to find and it can drive headphones a little louder. Either costs less than $1 USD. Or just buy whatever is available from your favorite electronics source. If you want to be safe, buy a DIP socket and then if you get the wrong op-amp you can easily swap it for another.
The SA602 is still widely available so I would just stick with that. It also goes by the name NE602. Don't search for the "AN" at the end: it will severely limit your options. Just be sure you are getting the right package (like DIP8).