And I'm sure you can make a bald human or Betazoid and call it a Deltan. Add possibly Xindi-Primate if they become playable...and that's not a bad selection of member races, actually. Nicely diverse.
Let's check. I'm a sucker for species diversity and keep track of my characters and bridge officers. There are given playable species but you can make more "rubber-forehead" species using an Alien.
Federation playable species: Andorian, Bajoran, Benzite, Betazoids, Bolians, Caitians, Ferengi, Human, Human (liberated Borg), Klingon, Pakled (no kidding), Rigelian (Jelna exosexes), Saurian, Tellarite, Trill (unjoined), Trill (joined) and Vulcan.
Additional bridge officer species: Aenar (Take that, Extinction!), Android, Photonic, Voth
Klingon Empire: Klingon, Gorn (male only), Orion, Nausicaan (male only), Lethean (male only), Ferasan (sabertoothed Caitian offshoot)
Some notable species available via Alien: Denobulans, El-Aurian (or using Human), Deltan (or using bald Human/Betazoid), Cardassian, Hirogen, Nalori, Preserver, Vorta, Xenexian, Xindi-Primate (no other Xindi species, though), etc. etc.
Playable species of D'Tan's Romulan Republic are Reman, Romulan, liberated Borg Romulan and Alien.
You can't make an Yridian (yet?). Previous Dev comments suggested Talaxians and Ocampa could become playable UFP species, and the Empire would receive the Kazon. That would coincide with a Delta Quadrant expansion. The DQ is in focus since Season 8.