That’s LM386. LM358 is a regular dual opamp, and similar enough to ½ LM324 that TI has a single application note that covers both of them.
LM741 is also an opamp (one of the classics).
EDIT: And yeah, TL07x won’t work here unless you redo the power supplies. CA3080 can be difficult to source, at least if you want one that’s actually new, but possibly recycled ones are cheap on eBay, or you can use half an LM13700 (see discussion in this thread) or if you want to splurge, get one of the reissues (e.g. Alfa’s AS3080).