Edit: RoundTop beat me to the post. Spent too much time doing research...
Almost none of your indicated models should be considered for inclusion in TRO:SW. The ones that could be considered missing were probably cut for page count. See your local Green, Yellow (Probably not Kit...) or Purple 'Beemer for that specific answer.
Hornet - Didn't Kallon lose the ability to make it? Per TRO3039, it was just recovered at the end of the 3rd Succession War, and those produced mostly went to mercenaries due to the Valkyrie. Wolf's Dragoons were probably the heaviest users and it was their success that brought it to the FedSuns attention.
Jackrabbit - Kerensky fought them on Terra during his assault. Draw your own conclusions... ;)
Sling - Only prototypes left with Kerensky's Exodus per TRO3060 and Operation Klondike, Mountain Wolf on Vendrell was destroyed in 2945 per TRO3058. Where Talon Zhan found the Sling blueprints, I have no data.
Toro - Star League made this one completely extinct during Reunification Wars, last known surviving model destroyed when Samantha was hit by an asteroid during Jihad. Retrotech models only saw production during Jihad.
Liberator - Wasn't this a Boondoggle?
Wyvern - TRO3039 indicates it's still going but quantities were very minimal.
Alfar - Age of War design, built with non-standard parts. Any potentially extant models would be nonfunctional museum pieces with no value in refitting for even Succession Wars battlefields due to time and cost.
Lynx - Factory ate a nuke and then attrition killed it off, per TRO 3058.
Champion - Factory was destroyed in 2776, per TRO3039 and then New Earth became the first ComStar Protectorate.
Cestus - Line destroyed during the Second Succession Wars and probably went the way of the Lynx.
Crossbow - Discontinued in 2550, TRO3075 entry reads like they were completely gone before 2776.
Koschei - Line was shut down in 2714, upgrades came online in 2719 but no one really wanted it and it went the way of the Cestus, Lynx, and Xanthos.
Dragoon - See Jackrabbit.
Helipolis - Factory destroyed in 2775 on Graham IV, and almost everything from Graham IV has almost no extant models during the Succession Wars.
Spartan - Rare even in production, only ever produced by Martinson on Terra and ComStar mothballed them pre-First Succession War.
Striker - ...this one, even out of production due to Stormvanger's destruction, was only found in any kind of strength in CCAF and LCAF.
Daboku - Designed in 3036, debuted in 3038 of which only 300 were built and those built were lost or destroyed during the War of 3039 because they were considered so heavily flawed by all parties per TRO3039. The Daboku did not see full production until the 3040s, and even then as the Mauler.
Annihilator - Wolf's Dragoons design.
Atlas II - Hegemony R&D, Weapons Division, New Earth (Destroyed probably 2767, TRO3075 says 2667 which predates the 2755 design date mentioned in the first two lines of Overview), all models left for Kerensky's Exodus.
Imp - Clan Homeworlds design. Never produced in the Sphere until Dragoon's arrived.
Xanthos - They threw these in the junkyard and let them rust after Hollis went bankrupt, reconsolidated, and started making BattleMasters. Even then, all known models that did see service, at least with the CCAF, were lost by or during the Second Succession War. Essentially a Liao exclusive even if you consider it active during the entirety of the Succession Wars.