These are the Pythagorean Theorem Rankings for MLB at the end of May 12, 2008 using 1.86 instead of 2 for the exponent (see this article).

1. Chicago Cubs    .632
2. Atlanta Braves    .624
3. Oakland Athletics    .617
4. Arizona Diamondbacks    .609
5. Boston Red Sox    .576
6. Cleveland Indians    .572
7. St. Louis Cardinals    .565
8. Chicago White Sox    .559
9. Houston Astros    .550
10. Tampa Bay Rays    .546
11. Los Angeles Dodgers    .545
12. New York Mets    .539
13. Florida Marlins    .538
14. Philadelphia Phillies    .526
15. New York Yankees    .508
16. Los Angeles Angels    .500
17. Minnesota Twins    .485
18. Toronto Blue Jays    .484
19. Baltimore Orioles    .468
20. Pittsburgh Pirates    .458
21. Milwaukee Brewers    .442
22. Seattle Mariners    .435
23. Detroit Tigers    .431
24. Texas Rangers    .424
25. Cincinnati Reds    .424
26. Colorado Rockies    .413
27. Kansas City Royals    .406
28. Washington Nationals    .378
29. San Francisco Giants    .369
30. San Diego Padres    .363

The top two "hard luck" teams who would have more wins by the Pythagorean Theorem than in real life are the Braves (22-13 instead of 18-17, 4 wins) and the Indians (21-15 instead of 18-18, 3 wins). The top two "lucky" teams are the Angels who would be 20-20 (instead of 22-17, 3 losses) and the Marlins who would be 20-17 (instead of 23-14, 3 losses).

So I ran a modified version of the Pythagorean Theorem (using 1.86 instead of 2 for the exponent, see this article) for the season so far and this is how the teams came out. (Apologies for the poor formatting.)

1. Arizona Diamondbacks    .703
2. Chicago Cubs    .655
3. Atlanta Braves    .625
4. Oakland Athletics    .616
5. Chicago White Sox    .602
6. St. Louis Cardinals    .588
7. Los Angeles Dodgers    .570
8. Tampa Bay Rays    .560
9. Philadelphia Phillies    .556
10. Los Angeles Angels    .547
11. Cleveland Indians    .547
12. Milwaukee Brewers    .545
13. Seattle Mariners    .542
14. New York Mets    .541
15. Boston Red Sox    .525
16. Houston Astros    .517
17. Baltimore Orioles    .513
18. Toronto Blue Jays    .513
19. Florida Marlins    .483
20. New York Yankees    .476
21. Detroit Tigers    .472
22. Minnesota Twins    .440
23. Cincinnati Reds    .431
24. Colorado Rockies    .403
25. Kansas City Royals    .363
26. Washington Nationals    .352
27. San Francisco Giants    .348
28. San Diego Padres    .338
29. Pittsburgh Pirates    .335
30. Texas Rangers    .311

The top three "hard luck" teams (much higher Pythagorean Theorem percentage than their actual winning percentage) were the Braves, Blue Jays and Dodgers. Each of these teams had a difference of .112 or greater, which would equate to about 3 more wins for each team. The top three "lucky" teams were the Marlins, Royals and Giants, each with a difference of -.092 or greater, which would equate to about 2 fewer wins.