UConn is strong in field hockey with 10 Final Four appearances (most recently, last year) resulting in 2 championships and 2 national finalists. They've also been to the Elite Eight an additional 7 times.
UConn is also strong in both men's & women's soccer. The men have won 2 championships, the women have played in 4 championship games (never won, though), been in an additional 4 Final Four games and 10 more Elite Eight games. They've been down a bit in the last couple years, not sure why.
UConn women's ice hockey had been in and out of the top 10 national rankings in recent years. They just had a dismal year, though, and again I'm not sure why.
Other teams will occasionally have terrific years, but not consistently. The Track & Field team finished in the Top 20 in the country in the fall - don't remember that happening before.
But the team that comes close to the basketball team in championships is the UConn Polo team (the horsey polo, not water polo). They also have 7 national championships and, I believe, two three-peats. UConn men's polo has also won 3 championships, like the UConn men's bball team.