Coach, I believe there is only one other prior to this past year: Jessica McCormack in 2008-9, the only year she was on the team. She didn't play in any games due to having to sit out the season as a transfer. After the season she left to go back to New Zealand.
Here are the other players who finished their time at UConn with only championships:
Mo Jefferson (4-0)
Breanna Stewart (4-0)
Morgan Tuck (4-0)
Briana Pulido (3-0 - walked on as a sophomore)
Courtney Ekmark (2-0 - left for Arizona State prior to junior year)
FWIW, there are also eleven players who finished their UConn careers with three championships: Diana Taurasi (3-1), Maria Conlon (3-1), Morgan Valley (3-1), Kaleena Mosqueda-Lewis (3-1), Kiah Stokes (3-1), Saniya Chong (3-1), Tierney Lawlor (3-1), Ashley Valley (3-1), Stacy Marron (3-1), Jessica Moore (3-2) and Ashley Battle (3-2). All but Ashley Valley and Stacey Marron went to four Final Fours. Moore and Battle took a redshirt their first year.