I know you said starting with War, but frankly, I consider my October pick to be better than most other DVDs and I think the earlier tours owned, so I'm including them anyway.
Boy: 15 May 1981, San Francisco
October: 4 October 1981, Berlin
War: 30 May 1983, Devore
UF: 21 November 1984, Dortmund
JT: 18 November 1987, Los Angeles
Lovetown: 18 November 1989, Sydney
ZooTV: Bleh ...
Popmart: Anything from the Latin American shows; 11 February 1998, Santiago is probably the best choice.
Elevation: Bleh ...
Vertigo: I haven't actually seen any.