From the 2019 Phillies Media Guide:

Relief Wins & Saves
1. Ron Reed Saves: 90 Relief wins 54 Relief wins & Saves 144 (1976-1983)
2. Tug McGraw Saves: 94 Relief wins 49 Relief wins & Saves 143.
3. Johnathan Papelbon Saves 123. Relief wins 14 Relief wins & saves 137.

Relief Appearances
1. Ryan Madson 473. (2003-2011).
2. Tug McGraw 460
3. Ron Reed 449
4. Rheal Cormier 363
5. Jack Farrell 357
6. Jack Baldschun 333
7. Ricky Bottalico 330.
8 Tie. Jin Konstanty 291.
8. Tie. Kent Tekulve 291
10. Wayne Gomes 288.