Persona -trinity soul- (TV)

Persona -trinity soul- is an anime sequel to Persona 3 which takes place 10 years after the events of the game

In the second episode in the karaoke bar, there are bits of two songs from the Persona 3 game. The first is from 'Want to be Close' and plays after the flash-back of episode 1. The second song is a remixed version of 'Iwatodai Dorm' and plays after Megumi is finished singing and when Takurou goes up to sing. 

In episode 1, the background music played in the restaurant is the remixed version of "Changing Seasons" from the soundtrack "Burn My Dread: Persona 3 Reincarnation".

In episode 3, the (faintly heard) background music played in the restaurant is the remixed version of "Deep Breath" from the soundtrack "Burn My Dread: Persona 3 Reincarnation".

In episode 1, the music played when Shin meets Igor (the "fortune teller") in his "dream" is Subete no Hito no Tamashii no Shi, or the music that plays inside the Velvet Room in Persona 3

Akihiko Sanada the boxing club champ, and upperclass man member of SEES in the Persona 3 games also makes an appearance in the anime, although albeit older.

The song playing in the background during the Sexual Bomber and restaurant scenes in episodes 14 and 16, respectively, is "Burn My Dread", the main opening theme for Persona 3. The song is used during the first opening movie of Persona 3 and the second opening movie of Persona 3 FES.

"Subete no Hito no Tamashii no Shi" originally made its debut in "Revelations: Persona" ("Megami Ibunroku Persona: Be Your True Mind" in Japan) for PlayStation back in 1996. The lyricless vocals are by Tomoko Komiya, and the piece was written by ATLUS composer Shoji Meguro, who also wrote the entire soundtrack to "Persona 3", "Persona 3 FES", and most recently, "Persona 4" (all for PlayStation 2).