Replace the electrolytic capacitors, you will need to remeber to glue the replacements in place after you have soldered them.
If you don't glue them, they can vibrate loose and damage teh solder connection, and they may cause a distracting buzz.
In these speakers, you are best replacing them with more electrolytics as the space is fairly limited - in other speakers there is more room and you can use fully synthetic capacitors - but these tend to be physically larger, although they can give you a better sound quality.
As a good indication of how much improvement you can make, do one speaker first, reassemble and try it out side by side with the one you have not maintained, you will be surprised at the differance.