summarising some posts so far
Batsman > 660 runs in 3 tests
Hammond (1928): 5 inn, 1no, 779 runs @ 194.75, 4 centuries
Gooch (1990): 6 inn, 0no, 763 runs @ 127.17, 4 centuries
Hammond (1933): 4 inn, 2no, 739 runs @ 369.50, 3 centuries
Sobers: 5 Inn, 2no, 731 runs @ 243.67, 3 centuries
Bradman (1930): 5 inn, 0no, 728 runs @ 145.60, 3 centuries
Lara (2001): 6 Inn, 0no, 688 runs @ 114.67, 3 centuries
Sangakkara (2007): 4 inn, 2no, 671 runs @ 335.50, 3 centuries
Yousif (2006): 5 inn, 0no, 665 runs @ 133.00, 4 centuries
Bowlers > 33 wkts
Barnes (1913): 39 wkts @ 11.05
Laker (1956): 37 wkts @ 7.86
Hadlee (1985): 33 wkts @ 12.18
Muralitharan (2006): 33 wickets @ 16.03
Allrounders > 300 runs and 15 wkts
Faulkner: 377 runs @ 62.83 and 22 wkts @ 21.45
Giffen: 359 runs @ 59.83 and 21 wkts @ 25.90
Greig: 314 runs @ 62.80 and 21 wkts @ 18.90
Botham: 345 runs @ 69.20 and 18 wkts @ 16.56
Flintoff: 319 runs @ 53.16 and 15 wkts @ 26.93