In the late '80s, the Ys I & II was one of the very first games to fully take advantage of PC-Engine's CD add-on to deliver Redbook-audio quality music, masterfully arranged by Ryo Yonemitsu, as opposed to the typical beeps and squawks of the time. And it was really good music. A lot of the music for Ys I & II also happens to have been composed by the legendary musician Yuzo Koshiro alongside Mieko Ishikawa, which will greatly influence the soundtracks of the sequels. Some notable examples:
From Ys 1, we have the original boss music, Holders Of Power (in this instance set to footage from the Ys OVA).
The very first piece of Ys music - Feena (Original) and the Perfect Collection version, (which the guys who translated the Eternal games used as a replacement for the not-quite as good Eternal soundtrack version).
The town theme Fountain Of Love, including the 1987 original and other versions (in 1988, 1990, 1993, 1997, 1998, 2001, and 2009), is a nice piece of chill-out music to relax to.
The music for the Shrine of Solomon is fantastic, considering that it's pretty much an almost empty area before the first boss fight.
The Palace of Destruction, the music for the first dungeon crawl in the series, in both TG-16 CD and Perfect Collection versions.
The music for the Final Battle with Dark Fact is awesome.
From Ys 1 and 2, we have the ending music from 1/the opening music to 2, To Make The End Of Battle(in this instance set to the animated between-games cutscene of Ys 1 and 2 Complete).
There's also the PC-Engine version of To Make the End of Battle for those among us who prefer that style.
Since Chronicles came out, it can be safely said: All of it.
From Ys 2, we have the music from the first monster-populated area Ruins of Moondoria.
And of course there's the nice chill-out track Stay With Me Forever, including the 1988 original and 1989 arrange, as well as the vocal version Adventure World (both the 1989 original and 2009 cover).
From Ys 3 and it's vastly improved remake, Ys: Oath in Felghana, there's ValesteinCastle, the area theme of... well, Valestein Castle.
No Ys game is complete without the epic final boss music, in this case when fighting The StrongestFoe.
From Ys 4: Dawn of Ys, we have The Great Forest of Celceta, probably the games most famous music judging from how some of it's elements are remixed later in the series.
Not to mention the intro music Dawn of Ys, which is just as famous.
For the field music we got Field. Yes, it's called just like that.
Ys = Awesome Boss = Awesome Boss music, and in Ys 4 it's Fight #58.
The opening song of Ys Origin, Genesis ~ Beyond the Beginning is, as so common in the series, awesome. And the title shouts back to the very start of the intro movie from the PC Engine Ys1, which said, simply, "In the Beginning". But of course, it takes it's crown from it's use ingame, before Toal Fact fights the last boss(es).