Here is the list of quests for every event on Dirty League.

regardless of the event, the quest order remains the same. this really helps you prepare for the next one.

1.  Defeat common monster
2.  Get 150 girl cards
3.  Get 500 gold
4.  Upgrade any girls 3 times
5.  Defeat 10 monsters in the dungeon
6.  Defeat rare event monster
7.  Open event chest once
8.  Find any 60 rare cards
9.  Defeat any event monsters 10 times
10.  Find 125 Event Common character cards
11. Get 1200 Gold
12. Level up event common card to level 5
13. Defeat any monsters in the rare dungeon rooms 20 times
14.  Level up any Rare girl 1 time
15. Open any 3 chests in the shop
16. Defeat Epic monster once (may want to free the card)
17. Find 160 rare event character cards
18. Defeat 20 epic monsters in dungeon
19. Get 4800 gold
20. Find 60 Epic cards
21. Level Up rare character card to level 5
22. Open 4 chests in the shop 
23. Defeat 25 event monsters 
24. Level Up any Epic Girl 2 times
25. get 1200 silver
26. Defeat Legendary Monster
27. Find 30 Legendary cards
28. Find 90 cards of epic character
29.  Level Up any legendary cards 3 times
30. Get 6400 gold
31. Defeat any event monsters 45 times
32. Get 50 cards of the legendary character
33.  2000 Pirate Silver
34. Defeat Legendary Dungeon monsters 20 times
35. Level up Epic Character to level 5
36. Open  5 chests
37. Level up the Legendary Character to level 5
38. Collect any 5 mythic cards
39. Spend 4000 silver
40. Level up any mythic girls 2 times
41. Defeat mythic event monster
42. find 15 mythic event character cards
43. Defeat Monsters in the mythic dungeon Rooms 20 times
44. Defeat Mythic Event monster 10 times

If anyone knows quests number 45 and up let me know.

From another post.  Also included the current reward and the sum with the previous awards.

1/45       75      75   Defeat common event monster once

 2/45      100     175   Get 150 girls' cards

 3/45      125     300   Get 500 gold

 4/45      150     450   Level up any girls 3 times

 5/45      175     625   Defeat any monsters in any Dungeon rooms 10 times

 6/45      200     825   Defeat rare event monster once

 7/45      225    1050   Open an event chest once

 8/45      250    1300   Find any 60 rare cards

 9/45      275    1575   Defeat any event monsters 10 times

10/45      300    1875   Find 125 event common cards

11/45      325    2200   Get 1200 gold

12/45      350    2550   Level up event common card to level 5

13/45      375    2925   Defeat any monsters in the Dungeon rooms 20 times

14/45      400    3325   Level up any rare girls 1 times

15/45      425    3750   Open any 3 chests in the Shop

16/45      475    4225   Defeat epic event monster once

17/45      525    4750   Find 160 event rare cards

18/45      575    5325   Defeat any monsters in the Dungeon rooms 20 times

19/45      625    5950   Get 4800 gold

20/45      675    6625   Find any 60 epic cards

21/45      725    7350   Level up event rare card to level 5

22/45      775    8125   Open any 4 chests in the Shop

23/45      825    8950   Defeat any event monsters 25 times

24/45      875    9825   Level up any epic girls 2 times

25/45      925   10750   Get 1200 pirate silver

26/45     1000   11750   Defeat legendary event monster once

27/45     1075   12825   Find any 30 legendary cards

28/45     1150   13975   Find 90 event epic cards

29/45     1225   15200   Level up any legendary girls 3 times

30/45     1300   16500   Get 6400 gold

31/45     1375   17875   Defeat any event monsters 45 times

32/45     1450   19325   Find 50 event legendary cards

33/45     1525   20850   Get 2000 pirate silver

34/45     1600   22450   Defeat any monsters in the Dungeon rooms 20 times

35/45     1675   24125   Level up event epic card to level 5

36/45     1750   25875   Open any 5 chests in the Shop

37/45     1825   27700   Level up event legendary card to level 5

38/45     1900   29600   Find any 5 mythic cards

39/45     1975   31575   Spend 4000 pirate silver

40/45     2050   33625   Level up any mythic girls 2 times

41/45     2125   35750   Defeat mythic event monster once

42/45     2200   37950   Find 15 event mythic cards

43/45     2275   40225   Defeat any monsters in the Dungeon rooms 20 times

44/45     2350   42575   Defeat mythic event monster 10 times

45/45     2425   45000   Level up event mythic card to level 5