Here's a list of Taekwon-Do's most common kicks. I compiled this list probably about two or three years ago for basic training in the Soo Shim Kwan.
The kicks below are anything from a completed list of Taekwon-Do kicks.
1. Front rising kick (Apcha olligi)
a. Front rising kick – straight up
b. Front rising kick – to opposite shoulder
c. Front rising kick – to outside shoulder
2. Side rising kick (Yobcha olligi)
3. Back rising kick (Dwitcha olligi)
4. Hooking kick (Golcho chagi)
5. Crescent kick (Bandal chagi)
6. Outward vertical kick (Bakuro sewo chagi)
7. Inward vertical kick (Anuro sewo chagi)
8. Front snap kick (Apcha busigi)
9. Side front snap kick (Yobabcha busigi)
10. Turning kick (Dollyo chagi)
11. Side-piercing kick (Yobcha Jirugi)
12. Back-piercing kick (Dwitcha jirugi)
13. Twisting kick (Bituro chagi)
14. Inward downward kick (Anuro naeryo chagi)
15. Outward downward kick (Bakuro naeryo chagi)
16. Pick shape kick (Gokaeng-I chagi)
17. Hook kick (Goro chagi)
18. Reverse side-piercing kick (Bandae yobcha jirugi)
19. Reverse back-piercing kick (Bandae dwitcha jirugi)
20. Reverse vertical kick (Bandae sewo chagi)
21. Reverse hook kick (Bandae goro chagi)
22. Reverse turning kick (Bandae dollyo chagi)
23. Reverse downward kick (Bandae naeryo chagi)
24. Front knee kick (Ap moorup chagi)
25. Turning knee kick (Dollyo moorup chagi
26. Front pushing kick (Apcha milgi)
27. Front checking kick (Apcha momchigi)
28. Sliding front-snap kick (Mikulgi yobcha jirugi)
29. Step over / sliding turning kick (Omgyo didigi / mikulgi dollyo chagi)
30. Step over / sliding side-piercing kick (Omgyo didigi / mikulgi yobcha jirugi)
31. 360° front snap kick
32. 360° turning kick
33. 360° turning kick with step (Tornado turning kick)
34. Flying high rising kick (Twimyo nopi chagi)
35. Jumping front-snap kick (Twigi apcha busigi)
36. Jumping turning kick (Twigi dollyo chagi)
37. Flying side-piercing kick (Twimyo yobcha jirugi)
38. Jumping reverse back-piercing kick (Twigi bandae dwitcha jirugi)
39. Jumping reverse turning kick (Twigi bandae dollyo chagi)
40. Jumping reverse downward kick (Twigi bandae naeryo chagi)
In my dojang here in Seoul we perform numbers 8, 10, 11, 15, and 21/22 every night as part of our warm up with at least five on each leg. As part of the warm up we'd also do some of the jumping kicks. But before these kick, we'd do a number of rising kicks (usually numbers 1 & 2) as part of our dynamic stretching routine. (Dynamic stretching is always done after static stretching.) As part of our general training, we'd do combinations of any number of these (legal) kicks during pad-drills and sparring drills with partners. We never train the "illegal" kicks (i.e. kicks that are not allowed in tournament sparring), such as knee kicks, checking/sweeping kicks and so on, except when I'm teaching the class. Since I'm more into self-defence than tournament sparring, I tend to practise these more practical techniques.
