Dummied Out + What Could Have Been: According to the FreeSpace 1 Reference Bible, a lot of planned full-motion cutscenes were cut out, due to time constraints. They were even going to do an "if you failed the last mission" scene, and the writers said they were going to "do something that's not like the White House scene from ID4."
Hey, It's That Voice! (What the heck are you doing in Blue Planet forty to fifty years or so after Derelict, Mackie?! And why do you sound younger?!)
Bomber - The Terran Bombers Athena, Medusa, Ursa, Zeus, Artemis, Artemis D.H., Boanerges; for the Vasudans, Sekhmet, Bakha, Amun, and Osiris. Shivan bombers include the Shaitan, Nephilim, Seraphim, Taurvi, and Nahema.
Interceptor - The Terran fighters Loki, Valkyrie, Perseus; the Vasudans have the Anubis, Horus, Thoth, and Serapis. Shivans, on the other hand, have the Scorpion, Dragon, Manticore, and the Astaroth.
Drop Pod - The Elysium and Argo for the Terrans. The Vasudans use the Isis. Only the Azrael is the ship used by Shivans to have boarded any ship at all, particularly the Iceni.
Cutter/Corvette/Frigate/Destroyer (well actually, we call them Cruisers) - The GTC Fenris, Leviathan, and Aeolus for the Terrans. The Vasudans have the Aten and Mentu. The Shivans have the Cain, Rakshasa, and the really heavily armored and badass Lilith.
Cruiser - The Deimos for the Terrans, Sobek for the Vasudans (oh, and to demonstrate how freaky Shivan anti-capital firepower is, they're basically Red Shirt warships), and the Moloch for the Shivans.
Assault Carrier - Though not really designated a Carrier, the Shivan Moloch really is. But it only really launches fighters in a multiplayer mission.
Space Freighter or Cargo Ship - In fact, they're literally called "freighters"; the Poseidon, Chronos, and Triton for the Terrans; Ma'at, Satis, Bes, and Bast for the Vasudans; lastly, the Mephisto, Dis, and Asmodeus for the Shivans.
...and time for the really, really big ones...
Battlecruiser - The Iceni fits this perfectly; fast (even faster) than the regular Corvette, and about as much firepower as a Destroyer (okay, what the hell, destroyers are actually the biggest ships here!). Oh, and don't forget that Corvette-armored Lilith, small as the typical Cruiser, which can be as deadly to any ship as a Shivan destroyer!
Science Vessel - Only the Terrans have these, and it's called the Faustus.
Space Gun - Again, only Terrans have these, called "Mjolnirs", which, when used in groups, can practically slice apart even the gigantic Battlestars trying to run away from a Jump Node only to be beamed to bits. There are smaller ones, called "sentry guns", used only against fighters; they're the Cerberus, Watchdog, and Alastor for the Terrans; the Vasudans use the weaker Ankh and Edijo guns. Shivans have them too; there's the Belial and Trident.
Space Station - The only station shown is the Terran Arcadia-class. But we read that the Vasudans actually use "shipyards" to make Bakha bombers, implying that they probably had them too.