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You do have other songs you can give to mages. Etudes for instance are quite nice. BRD also has threnody, elegy, requiem, finale, and shoot even a charm song to cast on mobs (lolCharm <3).

And I honestly can say BRD is much more versatile than say COR for support JAs (pianissimo, troubadour, nightingale).

Probably why you're getting so bored is because most people want only a certain set of songs. And hey, you can always go /sch and use light arts/dark arts for a B+ status enfeeb skill to fool around with. Just slap on some oracle's gear and elem staff and there you go. Less bored.