Yeah, it is there and you are right.
But what I think is the 'GITA' word used here just to say that this also spoken by someone to educate someone and in the the conversational form, Spiritual Literature emerge or re-emerge.
BTW, the 'Two Gita' which mentioned was spoken by the Lord Krishna himself.
Just to add few more,
* Avadhuta Gita,
Avadhuta Gita - Wikipedia, the free encyclopedia
* Ishwar Gita (Taken From Kurma Puran, First 11 Chapter Of Uttar Vibhag)
* Kapil Gita (Taken From Srimad Bhagwatam Chapter 23 To 33 , Canto 3)
Sri Kapil Gita
* Ganesh Gita (Taken From Ganesh Puran Krida Khanda , Chapter 138 to 148 , Close To Bhagwat Gita)
Ganesha Purana - Wikipedia, the free encyclopedia
* Devi Gita (Taken From Devi Bhagwat Chapter 31 to 40 Canto 7)
The Devi Gita index
* Parashar Gita (Taken From Mahabharat Moksha Parva As A Part Of Shanti Parva)
* Pandav Gita (Taken From Mahabharat)
Welcome to Gita Press
* Pingal Gita (Taken From Mahabharat Moksha Parva As A Part Of Shanti Parva)
* Bhrama Gita (Taken From Skanda Puran Chapter 4 Of Suta Samhita and First 12 chapters of Yagya-Abhi-Bhava Khand , Another version with the same name available in Yoga-vashistha in later part of Nirvana Portion Sarga 173 through 181.)
http://sanskritdocuments.org/all_pdf/brahmagiitaaskanda.pdf
* Brahamana Gita (Part Of Anu Gita)
* Yam Gita (Three Types
a. Third Canto Vishnu Puran Upto Chapter 7,
b. Third Canto Agni Puran Chapter 381,
c. Chapter 8 Narsingh Puran)
* Ram Gita (Taken From Bhramanand Puran, 5 th Sarga Of Uttar Khand adhyat-maram-ayana)
* Vyas Gita (From Kurma Puran, 12 Chapter Onward of Uttar-Vibhag)
* Shiv Gita (Taken From Padam Puran Patal Khanda)
* Ribhu Gita
Shivarahasya Purana - Wikipedia, the free encyclopedia ,
Ribhu Gita - HermeticSource.info
* Rudra Gita (The Rudra-Gita is contained in Slokas 16-79 of chapter 24 of Skandha IV of Srimad Bhagavata, and chapters 70-72 of Varaha-purana.)
* Guru Gita
In the final verse of the Guru Gita Lord Shiva says to Parvati that he will tell her a Secret Mantra,
http://www.santhigiri.org/chapter1.html
* Soot Gita ( Taken From Skanda Purana Chapter 13 to 20 onwards Yagya-vaibhava-khanda )
* Hari Gita (Taken From Mahabharat Moksha Parva as a part of Shanti Parva Same As Bhagwat Gita Chapter 346 Shloka 10 by Narad)
* Hans Gita ( Taken From Srimad Bhagwatam Chapter 13 Canto 11)
Hindi Book-Hans Geeta.pdf : Hindi Book-Hans Geeta.pdf : Free Download & Streaming : Internet Archive
* Rudra Gita (Taken From Srimad Bhagwatam Chapter 24 Canto 4 Shloka 24 to 79)
Srimad Bhagavatam
* Uttar Gita ( Taken From Mahabharat)
hare-krishna-forum[/COLOR]/494337-uttara-gita.html"]http://www.indiadivine.org/audarya/hare-krishna-forum/494337-uttara-gita.html
* Anu Gita
Anugita - Wikipedia, the free encyclopedia
There are nearly more than 36 different 'Gita', but mainly as I said only two, which are spoken by The Lord Krishna, Himself.