I expect the Davion's will probably get the Defender and maybe another 'old' unit, and I hope the League (at the very least!) get two new units.
Up to now, we only have a fairly small number of known ships for each nation for prior to the 1st Succession War
CapCon - 1 (Du Shi Wang)
LyrCom - 3 (Tharkad, Mako, Sylvester)
FedSuns - 3.5 (New Syrtis, Robinson, Davion I/Davion II)
FWL - 1 (Atreus)
Dracs - 1.5 (Samarkand I/Samarkand II)
TaurCon - 3 (Winchester, Concordat, Wagon Wheel)
RWR - 2 (Stefan Amaris, Pinto)
Using your list, I have modified it with the information released from the
Reunification War,
Liberation of Terra, Volume I,
Combat Operations, and
FM2765 CapCon:
Capellan Confederation - 10 (Du Shi Wang, Black Lion, Soyal, Aegis, Baron, Carson, Lola I, Essex I, Vincent, Vigilant)
Lyran Commonwealth - 5 (Tharkad, Aegis, Mako, Sylvester, Vigilant)
Federated Suns - 8 (New Syrtis, Robinson, Aegis, Congress, Davion I/Davion II, Baron, Vigilant)
Free Worlds League - 5 (Atreus, Soyal, Aegis, Baron, Vigilant - the FWL also bought the Soyal)
Draconis Combine - 5 (Samarkand I/Samarkand II, Aegis, Baron, Vigilant)
Taurian Concordat - 5 (Winchester, Dart, Concordat, Wagon Wheel, Pinto)
Magistracy of Canopus - 3 (Concordat, Dart, Pinto)
Rim Worlds Republic - 17 (Stefan Amaris, Dart, Pinto + every obsolete Hegemony/Star League warship class - First Lord Richard Cameron sold 200 obsolete and mothballed warships to his good friend Stefan Amaris so add Aegis, Avatar, Baron, Black Lion I, Bonaventure, Carson, Lola I, Lola II, Farragut, Monsoon, Quixote, Riga, Vigilant, and Vincent to the Rim Worlds Navy)
This is the total for ship classes that we know so far.