Here's a list I compiled a few years ago from the House books only. I didn't bother about specific manufacturers, just listed them by world. Some sources gave yearly production figures and I've included them.
Federated Suns:
Marduk: GRF-1N Griffin, WVR-6R Wolverine
New Avalon: VLK-QA Valkyrie (130), WSP-1A Wasp, PXH-1 Phoenix Hawk, LCT-1V Locust
Talon: RFL-3N Rifleman, GRF-1N Griffin, ENF-4R Enforcer, JM6-S JagerMech
Quentin: AS7-D Atlas (5), JM6-S JagerMech, VTR-9B Victor (20), MAD-3R Marauder (20)
Panpour: CN9-A Centurion
Draconis Combine:
Irece: Stinger LAM
Jarett: PNT-9R Panther
Luthien: DRG-1N Dragon, CGR-1A1 Charger, QKD-4G Quickdraw
Al Na'ir: Unspecified ("only recently back to production")
Alshain: Unspecified ("small")
Lyran Commonwealth:
Hesperus II: ZEU-6S Zeus, AS7-D Atlas, ARC-2R Archer, GRF-1N Griffin
Furillo: ZEU-6S Zeus, WSP-1A Wasp, LCT-1V Locust
Coventry: COM-2D Commando, VL-2T Vulcan, PXH-1 Phoenix Hawk, FS9-H Firestarter, STG-3R Stinger
Carlisle: MAD-3R Marauder, ARC-2R Archer
Sudeten: WHM-6R Warhammer, TDR-5S Thunderbolt
Tharkad: CRD-3R Crusader
Twycross: STK-3F Stalker, BLR-1G BattleMaster, RFL-3N Rifleman
Pandora: RFL-3N Rifleman, BLR-1G BattleMaster
Free Worlds League: (total yearly production 486)
Kalidasa: Hunchback (14), Trebuchet (8), Orion (17), Wasp (20)
Irian: Hermes II (14), Awesome (7)
Keystone: Griffin (18), BattleMaster (12), Phoenix Hawk (13), Stinger (27)
Calloway VI: Archer (15), Shadow Hawk (14), Stinger (15)
Shiro III: Stalker (11), Hermes II (20), Wasp (31)
Thermopolis: Rifleman (8), Wolverine M (18)
Kendall: Orion (25)
Gibson: Marauder M (8), Wolverine M (18), Cicada (6), Locust (16)
Oliver: Griffin (23), Crusader (7)
Tematagi: Warhammer (17), Spider (16), Vulcan (13)
Stewart: Trebuchet (8), Goliath (4), Locust (16)
Wallis: Marauder M (13), Warhammer (5)
Savannah: Quickdraw (9)
Capellan Confederation: (total yearly production 400)
Tikonov (90): Unspecified
Sirius (65): Unspecified
St. Ives (65): Unspecified
Sian (60): Unspecified
Grand Base (55): Unspecified
Betelgeuse (30): Unspecified
Ares (25): Unspecified
Aldebaran (10): Unspecified
Of these lists, I think the Davion, Steiner and Marik ones are pretty clear and accurate, with a few omissions at best. The Kurita one is a bit incomplete, but still rather easily fixed. The problem is the Liao list, which is not only most vague, but also conflicts with other canon sources, as mentioned above. I agree that Sirius should probably be Styk instead, and Aldebaran is perhaps Nanking (it's just one jump away). What's going on at Betelgeuse, I don't know, but perhaps instead of a factory producing new 'Mechs there's some sort of a repair/refit-base where Liao technicians rebuild old machines scrounged from battlefields and the CCAF counts these as new 'Mechs (they are getting pretty desperate by 3025, after all).
-Villain