Harachaman Hu Yakim Lanu (No idea who sings it it’s a famous niggun) Shlomo Carlebach.
Vesamachta Bechagecha (also no idea who sings it but a famous niggun) Dunno who composed it, but Avraham Fried sings it as well.
Yaleh Veyavo is indeed a Miami hit.
There is also the whole of Halel to sing – and you can, like in shuls, put differet tunes to different parts of Hallel – it is a lot of fun, and you get to choose any style song you want, really.