I'd half expect the Lyrans to have a decent fleet with the Rim Worlds over border
Only problem is the Lyran lack of shipyards Alarion jumps out but I really don't know much about Lyran industry back then - or any of the others if honest :-[
I can think of
Alarion - Lyran
Kathil - FedSun
New Syrtis - FedSun
Galax - FedSun
New Avalon - FedSun (I think nuked 1st SW could be a fan idea)
Loyalty - FWL
Away from books so not sure of any more
There are a bunch mentioned in various books -
In the FWL the House Marik SB says the FWL had major ship builders at Oriente, Angell and Stewart. They had the SelaSys yard at Lotalty, Technicron at Tamarind and Irian Tech at Clipperton
The LC had in addition to several shipyards at Alarion,, Gibbs (Ioto/Ditron), possibly Hesperus II - the orbital shipyards were destroyed in the 1st SW, Bolson Shipyards at New Kyoto, Bolson-Tamar shipyards at Tamar, Clippership Yards - location unknown but it is said in the original Lyran SB to be one of the few LC shipyards to have survived the 1st SW.
The Fed Suns had Shipyards at Delavan (universal air), Kathil, New Avalon (New Avalon shiyards -destroyed 1st SW), it is possible New Sytris Shipyards built jumpships or warships in 2765- the source material is vague, Panpour (challenge systems -TR3057 says the factory was at Galax, other sources say Panpour, to me Panpour makes more sense)
The Combine had shipyards at Chatham (Stellar Trek), Luthien - destroyed 2787 by the Tamar Tigers, and Schuyler (Dharma Hyperspace)
The Capellans had shipyards at Aldebaran (Drydocks destroyed 2785), possibly Asuncion, Capella (Delhi/Rashpur-Owens), St Ives (Hildco)
The list above is not necessarily every shipyard in the IS- these are just the ones that have either been explicitly mentioned or can be inferred from various sourcebooks.