For single seasons, From 1901 to 2007, (requiring IP≥100, ERAp≥200, whip≤1, and At least 80% games in relief), sorted by most recent date

  Cnt Player            Year   IP  ERA   WHIP Age Tm  Lg  G  GS CG SHO GF  W  L  W-L% SV  H   R   ER  BB  SO   ERA  HR  BF   AB  2B 3B IBB HBP  SH  SF GDP  SB CS Pk BK WP   BA   OBP   SLG   OPS  OPS   Pit  Str
 ----+-----------------+----+-----+----+-----+---+---+--+---+--+--+---+--+--+--+-----+--+---+---+---+---+---+------+--+----+----+--+--+---+---+---+---+---+---+--+--+--+--+-----+-----+-----+-----+----+----+---- 
    1 Guillermo Mota    2003 105    204 0.990  29 LAD NL  76  0  0   0 18  6  3  .667  1  78  23  23  26  99   1.97  7  410  379  9  2   4   1   3   1   6   8  5  0  0  0  .206  .258  .296  .554   52 1577 1037 
    2 Keith Foulke      1999 105.1  221 0.883  26 CHW AL  67  0  0   0 31  3  3  .500  9  72  28  26  21 123   2.22 11  411  384 18  0   4   3   3   0   4   1  2  0  0  1  .188  .235  .320  .555   40           
    3 Mariano Rivera    1996 107.2  239 0.994  26 NYY AL  61  0  0   0 14  8  3  .727  5  73  25  25  34 130   2.09  1  425  386 12  0   3   2   2   1   6   3  1  1  0  1  .189  .258  .228  .486   24           
    4 Mark Eichhorn     1986 157    248 0.955  25 TOR AL  69  0  0   0 38 14  6  .700 10 105  32  30  45 166   1.72  8  612  548 23  3  14   7   9   2  12  15  5  0  1  2  .192  .261  .288  .549   47           
    5 Willie Hernandez  1984 140.1  204 0.941  29 DET AL  80  0  0   0 68  9  3  .750 32  96  30  30  36 112   1.92  6  548  496 10  1   8   4   9   3   9   4  2  0  0  2  .194  .252  .254  .506   40           
    6 Dan Quisenberry   1983 139    210 0.928  30 KCR AL  69  0  0   0 62  5  3  .625 45 118  35  30  11  48   1.94  6  536  515 18  4   2   0   6   4  19   3  1  1  0  0  .229  .243  .315  .558   52           
    7 Bruce Sutter      1977 107.1  327 0.857  24 CHC NL  62  0  0   0 48  7  3  .700 31  69  21  16  23 129   1.34  5  411  377 14  2   7   1   9   1   5   7  4  0  0  7  .183  .231  .271  .502   31           
    8 Rich Gossage      1977 133    243 0.955  25 PIT NL  72  0  0   0 55 11  9  .550 26  78  27  24  49 151   1.62  9  523  459 11  0   6   2   7   6   7   9  3  0  0  2  .170  .250  .253  .503   38           
    9 Ted Abernathy     1967 106.1  298 0.978  34 CIN NL  70  0  0   0 61  6  3  .667 28  63  19  15  41  88   1.27  1  427  371  9  0   5   5   9   1   9   6  6  0  0  1  .170  .261  .202  .463   32           
   10 Phil Regan        1966 116.2  203 0.934  29 LAD NL  65  0  0   0 48 14  1  .933 21  85  24  21  24  88   1.62  6  445  412  6  2   9   0   6   4  12   2  6  0  0  4  .206  .248  .274  .522   55           

Seasons/Careers found: 10.

 Photos from the George Grantham Bain Collection at the Library of Congress.