In order to get your character as good as he can be here are some of the basic skills you will get for your character. Remember, some skills are only open to those of captain or espada rank so be sure to use only those you are allowed to use.

Shinigami:
Flash Step
Kido (Depending on what Seat)
Zanpakuto-Shikai Training

Lieutenant:
Flash Step Expert
Kido Expert
Zanpakuto-Shikai-Bankai Training

Captain:
Flash Step Master
Kido Master.
Zanpakuto-Shikai-Bankai

Hollow:
Cero
Pesquisa

Arrancer:
Cero
Bala
Light Hierro
Pesquisa
Sonído Expert
Resurrección

Espada:
Cero
Gran Ray Cero
Heavy Hierro
Pesquisa
Sonído Master
Resurrección
Garganta

Bount:
Dolls
Bitto
Zanpakuto Release