So, I remember promising to recommend music ("post up links to songs") in a previous post... and I do intend to keep my promise. So here's my first fulfilment of that promise :)
One Japanese singer that I like is YUI. Only 21 years old, she was raised fatherless and wanted to be a singer from a young age. After a mental breakdown in high school due to stress, she decided to drop out of high school for good to persue a career in music. She writes her own songs/lyrics, and her songs tend to be pop-rockish.
More information: http://en.wikipedia.org/wiki/Yui_(singer)
Now for some actual song recommendations... she's written quite a lot of stuff, actually. These are just a few of my favourites. Click on the song titles to be redirected to the corresponding youtube videos.
Summer Song - about summertime (duh). It has a light-hearted feel to it that I like.
LIFE - I believe this was the opening theme of an anime, but I can't remember which one off the top of my head. I like the beat.
Umbrella - I have no idea what this song is about (I'm not ashamed to admit it - my Japanese sucks), but I do like this song. It flows well.
Rolling Star - One of her more energetic songs.
Daydreamer - I couldn't find the official music video for this, so I'm putting this up instead. Sorry about that. It's still the same music, though.
Like I said before, YUI has tons of songs, so this list is by no means exhaustive :)