I used to like Calvary Chapel a lot 'til they went nuts and went so far as to make the "no female pastors" thing a part of their SoF. It's sad if they believe that, but pathetic to make it a matter of such importance.
As far as what they believe apart from that...
The 1994 12-page booklet What Calvary Chapel Teaches by Larry Taylor includes the following:
-- CC is firmly Pre-Mil, Pre-Trib in eschatology.
-- CC rejects the "L" and "I" in the Calvinist TULIP, while Chuck Smith's 2001 book The Calvary Chapel Distinctives suggests they also reject the "P," but without going as far as some Wesleyans; they could be loosely viewed as somewhat like Lutherans in that sense.
-- CC rejects "Positive Confession." In that, they agree with the Assemblies of God as per their 1980 Position Paper.
-- CC rejects the idea that believers can be demon-possessed; in that, they agree with the stance of the AG, as per their 1972 Position Paper.
-- CC rejects the idea that "prophecy" can ever supersede or even equal Scripture.
-- CC rejects the idea that there are contemporary prophets and apostles of the same nature as those in the NT; per their 2001 Position Paper, the AG seems to share that view.
-- CC prefers their primary meetings focus on worship and teaching. Praying in tongues is permitted if very quiet. "After-glow" sessions and "believers' meetings" are opportunities for exercise of "spiritual gifts."
Other than those specifics, their beliefs are rather generic Evangelical.
Chuck Smith's 1992 book Charisma vs. Charismania elaborates on their views regarding the presence and empowering of the Spirit. He advocates being filled with the Spirit and praying in tongues, but takes the view (which I share) that, Scripturally, "speaking in tongues" is always directed from us TO God, and never brings a "message" FROM God.