Electrolyte caps should have some leakage, mostly in the PS. The leakage is important. The correct amount. The PS filters work better this way. These are your big electrolyte caps mostly.In some audio applications the DC blocking caps, say between one audio amp stage and another, are electrolyte. These particular electrolyte caps should be low leakage. I have replaced some of these with newer style caps say Tant or maybe even Multilayer Ceramic.
If you can use a multi layer ceramic, do it, they are really cheap and quite good. But I am not a purist or an audiophoole, and cannot hear well anyway.By the way, MLCC in thru hole packages are frequently just a surface mount cap put inside a package with leads.
These AC coupling or DC blocking caps (whatever you care to call them) can go bad and can severely limit or shut down your otherwise good amp. If you are repairing these things for a little income to support your habit, it is a happy circumstance when you find that sort of fault. Easy Fix. Sometimes easy to find, they can just go short and you can see this on a multimeter ohms reading.
The blocking caps in RF sections of radios are usually ceramic and are not a big problem, usually.Some RF caps are MICA and are hard to come by. I try to pick them up at Hamfests. Mostly these are in transmitting sections, so you may not need them. They are almost "immortal" . Old ones are OK.
Restored radios usually have all the PS caps replaced, since you are dealing with transistor radios, this should not be a problem, new electrolyte caps are better and smaller. Usually a cap of higher voltage rating is used while trying to stay close to old capacitance value.
In tube designs, restorers have been known to gut the "cans" containing the old electrolyte and hide the new caps in the old cans. Go think!
This probably should be first since Safety is First. Use the proper X and Y protection caps (also known as line filters) on the AC input. There are lots of articles on the web and lot of references in this forum about this.