Word of warning: the following is a lengthy task. There are 4 variables (4 maps) and a lot of possible combinations. This will take time. The end result, however, is very rewarding, and I'll show you a neat map in the next post... for now, here's the list of climates possible and how to find them:
(Some climate classifications have been merged)
1. HOT DESERT (BWh)
- at least one of the seasons as Warm/Hot/Very Hot
- no season as Cold/Very Cold
- both seasons dry
2. COLD DESERT (BWk)
- at least one of the seasons as Mild/Cold/Very Cold
- not qualified as Hot Desert
- both seasons dry
3. TROPICAL MONSOON (Am)
- no season is below Warm
- one season Wet/Very wet and the other Low/Moderate
4. TROPICAL RAINFOREST (Af)
- no season is below Warm
- rain Moderate or above in both seasons
- not qualified as tropical monsoon
5. SAVANNA (Aw)
- no season is below Warm
- one season Very Wet/Wet/Moderate and the other Dry
(OR Moderate and then Low)
6. HOT STEPPE (Bsh)
- no season is below Mild
- both seasons are Low or one is Low and the other is Dry
7. COLD STEPPE (Bsk)
- both seasons are Low or one is Low and the other is Dry
- colder season is Cold
OR
- colder season is Very Cold and warmer season is Warm or above
8. MEDITERRANEAN (Csa)
- one season Hot/Warm and one Mild
- warmer season is Dry/Low and colder season is Wet/Moderate
9. COLD MEDITERRANEAN (Csb/Csc)
- one season is Hot/Warm/Mild and one is Cold
- warmer season is Dry/Low and colder season is Wet/Moderate
10. TEMPERATE MONSOON (Cwa)
- one season is Hot/Warm and one is Mild
- warmer seaon is Very Wet/Wet/Moderate and colder is Dry/Low
11. TEMPERATE HIGHLAND OR SUBTROPICAL (Cwb/Cwc)
- one season is Hot/Warm/Mild and one is Cold
- warmer season is Very Wet/Wet/Moderate and colder is Dry/Low
12. HUMID SUBTROPICAL (Cfa)
- one season is Hot/Warm and one is Mild
- warmer season is Very Wet to Moderate and colder is Moderate/Wet
13. MARITIME TEMPERATE (Cfb)
- one season is Warm/Mild and one is Cold
- both seasons are Moderate/Wet/Very Wet (or
- not qualified as Humid Subtropical
14. MARITIME SUBPOLAR (Cfc)
- one season is Warm/Mild and one is Very Cold/Extremely cold
- both seasons are Moderate or above
14. MANCHURIAN (Dwa/Dwb)
- warmer season is Hot/Warm and colder season is Very Cold
- rain is Very Wet/Wet/Moderate in warm season and Dry in cold season
15. LAURENTIAN (Dfa/Dfb)
- warmer season is Hot/Warm and colder season is Very Cold
- rain is Wet/Moderate in cold season and Moderate/Low in warmer season
16. CONTINENTAL HIGHLAND (Dsa/Dsb)
- warmer season is Hot/Warm and colder season is Very Cold
- rain is Dry/Low in colder season and Moderate/Wet in warmer season
17. TAIGA (Dfc/Dsc/Dwc)
- warmer season is Warm/Mild and colder season is Very Cold/Extremely Cold
- not qualified as Cold Steppe or any other D-type climate
18. TUNDRA (ET)
- one of the seasons is Cold and the other one is colder
19. ICE CAP (EF)
- temperature is always Very Cold or Extremely Cold
EDIT 1: fixed/revised some "rules" for D climates.