Here's the comprehensive list of models, tongue and dry weights from Airstream:
Recognize that dry weights are not necessarily "as equipped" weight. They're generally without LP tanks, or most of the "options". Weights from the '90s and later are closer to "as equipped" though. This chart will give you a good idea of what range you'll be in. The '60s vintage trailers will be much less weight than the '80s.
AIR 2053 Current: 2006 Born Free 32 RQ Kodiak Chassis, & 1995 Coachmen B-van
Former Airstreams: 1953 Flying Cloud, 1957 Overlander, 1961 Bambi, 1970 Safari Special, 1978 Argosy Minuet, 1985 325 Moho, 1994 Limited 34' Two-door, 1994 B190 "B-Van"