By my count, there are 22 teams that won multiple events:
Did not lose any events:
16 x3
67 x3
341 x3
469 x3
2056 x3
181 x2
233 x2
359 x2
971 x2
987 x2
1023 x2
1507 x2
1592 x2
1717 x2
1986 x2
3245 x2
The following teams attended 3 or more events, and won 2 of them:
48
148
1114
1218
1477
2590
Congratulations to all the multiple event winners!
Let me know if I missed any.