I highly recommend 你 to listen to Prince of Tennis...It's really great! There also use the characters' songs to use it as openings and endings...!
This song is the ending of the OVA Another Story II , "Hikari" 由 the anime's character,Akaya Kirihara...While the first 15 秒 is the opening,"Aozora Stage" 由 the other characters,Tachikiri Tai (consists of Syusuke Fuji,Kuranosuke Shiraishi,Ryou Shishido and Senri Chitose)...
Here's a few opening's and ending's I could recommend: Openings: Blow Away (Fairy Tail OVA)(Picture) Brand New World (One Piece) XTC (Witchblade) Share the World (One Piece) Sympathy (High School DxD New) Fiesta (Fairy Tail) I Wish (Fairy Tail) Hologram (Fullmetal Alchemist) Brightdown (D.Gray-Man) Papermoon (Soul Eater) Grip (Inuyasha)
Endings: Strength (Soul Eater) Pride of Tomorrow (D.Gray-Man) Trinity 交叉, 十字架 (Rosario + Vampire) Tooi Michi no Saki de (Inuyasha: The Final Act)
~Kyoukai no Katana's ending, Daisy is pretty nice. ~Durarara!!'s ending Trust me and openings, Complication & Uragiri no Yuuyake. ~all Junjou Romantica's & Sekaiichi Hatsukoi's openings n endings are great! ~Loveless's Michiyuki (ending) and Tsuki no Curse (opening)
My all-time favourite 日本动漫 opening is 'For Fruits Basket'. I also like 'Soramimi Keiki' from Azumanga Daioh. 'Sorairo' and 'Serenade' (also from Fruits Basket) are nice too, though sadly I can't seem to find any English translations for the lyrics, they aren't openings though, just songs from the anime. My favourite ending theme is 'Raspberry Heaven', also from Azumanga Daioh.