No names for inserted songs??  

Ah, I guess you're referring to the background music then. It does drive me crazy sometimes when I hear a background song or instrumental music I like when watching an anime but there isn't a title given to it. It's a bit of a hassle trying to dig around online and spamming various anime forums hoping someone will know what I'm talking about. I haven't seen either of the anime you mentioned so I can't really help you out there. Your best bet would be to try and find the entire soundtrack somewhere online (I would try the popular forums) and download it.

I think you're referring to the instrumentals. I'm not really interested in stuffs like these except for the OP and ED songs, but I know how you feel xD. There's this one song that was playing in Hana Yori Dango live action (I know it's not an anime, but I felt the same way you do when I heard a catchy background music). I searched really hard but I did not find the title of the song. I only found out the title when I saw the PV of hana yori dango at Nico Nico Douga xD.