In terms of the teams actually coordinating assaults
1. Hidan and Kakuzu (actually fought together)
2. Deidara and Tobi (While using the dragon, Tobi planted land mines)
3. Pain and Konan (While Pain solod, Konan got information)
4. Itachi and Kisame (During their fight with Asuma and Kurenai they showed some degree of teamwork...they also get along well)
5. Sasori and Deidara (Never really fought together)
6. Sasori and Orochimaru (Never seen together)
In terms of overall strength in fights
1. Pain and Konan (Pain solod a village.....Konon is a heavy support styled character)
2. Itachi and Kisame (Itachi is better than Hidan....Kakuzu and Kisame are basically equals)
3. Hidan and Kakuzu (see above plus they coordinate)
4. Sasori and Orochimaru (Kakuzu can take Sasori IMO....Orochimaru and Hidan practically cancel each other out...can't kill each other)
5. Deidara and Sasori
6. Deidara and Tobi (based on the opinion that having the name Tobi implies his goofy nature)