Typically Kajiuran, defined by flutes and chants. Recommended for purchase.

• Sis Puella Magica
• Credens justitiam

IMO Yuki Kajiura's best compositions. The tracks most likely became the base for the tracks for madoka magica, and is pretty much overshadowed by madoka magica, but I personally love the tracks composed for pandora hearts.

• A shadow
• Will
• Melody

Yuki Kajiura 

• Quiet Romance

Yuki Kajiura 

• Spiral

Yuki Kajiura - This may be her first composition of flowery classical music. Hints of Paris feels.

• Waltz of destiny 

Yuki Kajiura - awesome fight tracks

• This Day and Never Again

Yuki Kajiura - the epic track that plays during the starburst stream scene

• Swordland

Yasuharu Takanashi - hauntingly beautiful tracks

• Day and Night
• Eau de Vie

Yasuharu Takanashi- Has some of the creepiest tracks ever.

• Jigoku Nagashi

Michiru - mysterious witchy tracks

• Legend of the white witch

Takefumi Haketa -those heartwrenching tracks are very memorable 

• Vampire Knight Guilty Main theme
• Shizuka Hio’s theme
• Uncertainty

Takahiko Obata - Has this one beautiful track that I adore

• Isabella‘s song

Kevin Penkin - Eerily beautiful.

• Hanezeve Caradhina

Kevin Penkin - ominous battle tracks

• The irregular god

Sawano Hiroyuki - Ominous battle music. 

• Nui Harime
• Satsuki Theme

Hiroyuki Sawano - significant in fight scenes

• Attack on titan
• XL TT

Hiroyuki Sawano 

• Mkaliez

Hiroyuki Sawano - most known for its vocal tracks

• Bios

Hiroyuki Sawano - fight songs and other touching tracks.

• Ban and Elaine

Shiro Sagisu - Intense chants used in fight scenes.

• At the very beginning
• Bataille Decisive

Shiro Sagisu - IMO the best of Shiro Sagisu. Some of the most memorable tracks I've heard in anime. The arrancar arc has some really nice spanish influenced tracks. Recommended for purchase.

• Invasion
• Soundscape to ardor
• Clavar la Espada

Shiro Sagisu - A good score of arab influenced exotic tracks. It's insanely good.

• Enfin Apparu
• Valse Hot

Taku Iwasaki - ominous chants and operatic compositions 

• Si deus mi relinquit
• The slightly chipped moon

Mitsuda Yasunori - Fancy tracks that feature the accordion, and other classical tracks

• Book of circus 
• All Around Player

Mitsuda Yasunori - Dramatic and mysterious tracks

• Invitation to Murder

Takaki Hiroshi - tracks from all sorts of genres, including classical, jazz. The one’s that stand out are the mysterious-sounding tracks.

• Main theme
• Blame words
• Fantasterious

Kouhei Tanaka - Mysterious tracks, definitely influenced by  Gabriel Faure

• Kaiketsu nagara mo Anzen
• Bara no Hanabira ga Mau you ni

Yoshihisa Hirano - classical compositions, including chants

• Requiem Aranea
• Ginpatsu no Shounen

Yuuya Mori - classical music influenced by impressionism

• Hyousetsu no Shiro
• Hotaru no Mau Mori
• Ai wo Nozonde

Taku Iwasaki - A good score of operas / arias

• Yoru Sou
• Si, Tu Sei Diverso

Taku Iwasaki - serene classical music that sounds a lot like debussy

• Nostalgia
• Amaoto

Mark Mancina - A good score of arias, such as

• Saya’s Song
• Diva’s Song.

Taku Iwasaki - Speaking of arias and operas, this show incorporates raps into operatic compositions which is pretty...amazing.

• Libera me from hell

Iwasaki Taku - mix of classical compositions and techno/hiphop

• Il mare eterno nella mia animo
• Awaken

Yugo Kanno - Jojo themes

• Stardust Crusaders

Yugo Kanno - Jojo themes

• Diamond wa Kudakenai (Theme)
• Moriocho Radio

Yugo Kanno - Jojo themes

• Giorno's theme
• Torture Dance Theme

Yogo Kanno - Jojo theme

• Jolyne's theme 

Yugo Kanno - a mix of techno, jazz and classical music. Cinematic and thematic tracks.

• Psycho-pass theme
• Psycho-pass Symphony
• Sono Juukou wa Seigi wo Shihai Suru
• Hakai ga Oikakeru

Taku Iwasaki - Interesting compositions that mix techno sounds with traditional Japanese instruments.

• Noratan
• Misogi

Iwasaki Taku - Technobeat

• Unbeatable Network

Taku Iwasaki - mostly techo music, but my favorite track is this slow waltz :D

• Vespertine Bloom

Hitomi Kuroishi - dramatic chants

• Madder Sky
• Continued Story

Hitomi Kuroishi - Hauntingly beautiful chants. 

• Yuki no Hitohira
• Mitsumete Itai

Senju Akira - Melodic classical music and symphonies. Absolutely worth purchasing the entire soundtrack. Lots of intense chants.

• Main Theme
• Trisha‘s Theme

Michiru Ooshima - Classical compositions influenced by traditional Russian music. 

• Brothers
• Dancing

Taku Iwasaki - Romantic and classy tracks

• The end of the show
• Message from the past

Michiru Ooshima - Very romantic and relaxing classical compositions. IMO the best of Michiru Oshima. The album is worth purchasing.

• Reconciliation: The beginning of the two
• Shirayuki‘s Growth

Michiru Ooshima - Flowery classical music. It's a shame that the CD is discontinued.

• Toudou Shizuka’s Theme
• Fushigi na Yokan

Michiru Ooshima - Flowery orchestral compositions. Lot's of tracks influenced by chopin.

• Watashi no Theme