Perfect means completed, that is already completed.
So present perfect is completed at some point prior to the present: he comido, he hablado.
Pluperfect is completed at some point prior to the past: Ya había comido cuando llegó. Ya había pensado antes de hablar. Hence it's called the past of the past.
Likewise, future perfect is completed at some point prior to the future time frame. You might well call it the past of the future. habré viajado a diez países antes de jubilar (future time frame: upon retirement, and prior to that, but posterior to now, ten countries will be visited).
Conditional is, technically, the future of the past as evidenced by indirect speech: Me dice que irá a Méjico because Me dijo que iría a Méjico when put in past tense. In Spanish, the conditional tense is even called the pospretérito.
So conditional perfect is, if you will, the past of the future of the past. It happens before the future that is established within a past-tense timeframe. (mind blown yet?)