Here are some numbers I've collected about the battles in BG. Nothing from Galactica 1980 is included. Because of the way the show was edited, some Raider "Kills" were ambiguous as to who shot them down. But here they are:
RAIDER KILLS
1. Apollo 18
2T. Boomer 16
2T. Starbuck 16
4T. Jolley 6
4T. Sheba 6
6. Deidre 4
7. Greenbean 2
8T. Zac 1
8T. Athena 1
8T. Serina 1
8T. Killian 1
8T. Cain 1
Other 12
Galactica 12
VIPER PILOTS LOST
Zac
Jamie
Beau
Shields
Killian
Bunker
Tags
Unnamed 11
CENTURIAN KILLS (BG Regulars)
1. Starbuck 16
2T. Boomer 7
2T. Apollo 7
4. Jolley 3
5. Bojay 2
6T. Adama 1
6T. Muffit 1
6T. Cree 1
CENTURIAN KILLS (BG Guest Stars)
1. Ariadne ("Young Lords") 6
2. Thane ("Gun On Ice Planet Zero") 3
3T. Croft ("Gun On Ice Planet Zero") 2
3T. Kyle ("Young Lords") 2
5T. Robus ("Young Lords") 1
5T. Nilz ("Young Lords") 1
HUMANS KILLED BY CENTURIANS
Serina
Butis
Leda
Thane
Unnamed 4