Other good times:
“Two supplications will not be rejected: the supplication during adhan and under rain,” (hasan) then these two times are preferred for dua.
Supplication on Laylat’ul-Qadr, since it is a blessed and honored time. Aisha asked the Prophet (s.A.a.w.s.) “What should I say on Laylat’il-qadr?” And he replied, “O Allah, indeed you are a Pardoner, and you love pardon; so pardon me.”