There are no other typika really in use except at New Skete monastery in NY and in other places.
Not really. The Greek Church uses the so-called "Violakes" Typikon, not the Sabbaite Typikon which the Russian Church uses. It is said that in the Greek Monasteries they keep a type of the Sabbaite Typikon.
This difference accounts for the different ranking of feasts in some cases, among other things.
"Rubrics" need to be defined in the original post as most (if not almost all) of the actions of the liturgical services are spelled out in the books that contain those services. Other points, that may be confused with rubrics are contained in the Typikon but they are not rubrics. For certain rubrical aspects indeed many are found in the Typikon (at least the Russian) but not most. Rubrics are instructions to the celebrants and choir what to do and how. The Typikon it must be remembered is not a service book per se. The Liturgikon will say "the singers now sing the troparia" the Typikon says which troparia. Rubrics in the Typikon tend to be only for special feasts that have peculiar rubrics, not ordinary events. Although again, this depends on the understanding of rubrics.