Orchestrion Songs like Answers?

I wonder if it exsist any more Orchestrion song like Dragonsong and Answers in the game?

You mean actual vocal songs? Sadly that's all there is (because Answers is FFXIV 1.0/ARR's main theme song, and Dragonsong is the main theme song for the Heavensward expansion.). However, there are a number of other tracks that are on the Orchestrion that have vocals in them, although they're not considered 'songs'. For instance, the Primal theme tracks are often songs, like the Shiva theme Oblivion, Sophia the Goddess's theme Equilibrium and Garuda's theme Fallen Angel. Nael van Darnus's second stage theme Rise of the White Raven (used in ARR in the Second Coil of Bahamut) is also a vocal piece, although it's an orchestrated choir and not a 'rock' song.

But actual songs sadly only Answers and Dragonsong are on the Orchestrion.

You may want to check youtube for Orchestrion ffxiv as I think there were a few video lists there that had an extensive list of the songs you could preview.