Hi, I have many Fushigi Yuugi songs. Among all of those, I will recommend some of the songs that you need to get and listen.
No matter where you are from, and if you like anime or not, some of the good songs that I recommend you guys to listen to are:
The Fushigi Yuugi Opening and Closing songs
The OVA I Opening and Closing songs
The OVA II Opening songs: Star
The OVA II Closing songs: Yume Sake by SEE
The Akemi Satou's songs for Fushigi Yuugi are very good.
Some of Characters songs are excellent such as Tamahome's voice, Chiriko's song when he die, Hotohori's legacy, Soi's pride of ice, Nakago's wandering, Yui's the best wish and the best friend, Tasuki and Chichiris's Aoi jiyuu, Chichiri's Mizu Kagami; Tasuki's Zutto etc.
If you have the chance, download some of the songs from the web, or get the whole soundtracks. There are total 5 soundtracks from Fushigi Yuugi, OVA I, and OVA II..