There are several Colleges in India that accepts admissions through Orissa JEE Exam.

I am giving list of some of these colleges where you can apply for admission after clearing Orissa JEE:

Orissa JEE Participating Colleges
Veer Surendra Sai University of Technology, Sambalpur
Indira Gandhi Institute of Technology, Sarang
Central Institute of Plastic Engineering and Technology, Bhubaneswar
CV Raman College of Engineering, Bhubaneswar
Gandhi Institute of Engineering and Technology, Gunupur
Gandhi Institute for Technological Advancement, Bhubaneswar
Government College of Engineering, Kalahandi
Parala Maharaja Engineering College, Berhampur
Orissa School of Mining Engineering, Keonjhar
Silicon Institute of Technology, Bhubaneswar
Gandhi Institute of Technology and Management GITAM, Bhubaneswar
College of Engineering and Technology, SSC, Bhubaneswar
The Techno School, Bhubaneswar
Purushottam Institute of Engineering and Technology, Kansbahal
Synergy Institute Of Technology, Bhubaneswar
Gandhi Institute of Advanced Computer and Research, Raygada
Institute of Technology & Management, Rayagada
Indus College of Engineering, Bhubaneswar
C. V. Raman College of Engineering, Bhubaneswar
Radha Krishna Institute of Engineering and Technology, Bhubaneswar
Oxford College of Engineering and Management, Bhubaneswar
Gandhi Institute of Engineering and Technology, Gunupur
Nigam Institute of Engineering and Technology, Baranga
Aryan Institute of Engineering & Technology, Bhubaneswar
NM Institute of Engineering and Technology, Bhubaneswar
Vignan Institute of Technology and Management, Berhampur
Kruttika Institute of Technical Education, Gangapatna, Bhubaneswar
College of Engineering and Technology, Bhubaneswar
Sophitorium Engineering College, Bhubaneswar
Capital Engineering College, Khurda
Gandhi Institute of Excellent Technocrats, Bhubaneswar
DRIEMS, Cuttack
VITS Engineering College, Khurda
Ghanashyama Hemalata Institute of Technology and Management, Puri
Roland Institute of Technology, Berhampur
Gandhi Engineering College, GEC, Bhubaneswar
Padmanava College of Engineering, Rourkela
Eastern Academy of Science and Technology EAST, Bhubaneswar
Synergy Institute of Engineering and Technology, Dhenkanal
Bhubaneswar College of Engineering , Khajuria, Khurda
Black Diamond College of Engineering and Technology, Jharsuguda
Trident Academy of Technology, Bhubaneswar
Indira Gandhi Institute of Technology, SSC, Sarang
Indira Gandhi Institute of Technology, Sarang
Krupajala Engineering College, Kausalyaganga
Gandhi Institute for Technology, GIFT, Bhubaneswar
Padmashree Krutartha Acharya College of Engineering, Bargarh
Kalam Institute of Technology, Berhampur
Seemanta Engineering College, Jharpokharia
Ajay Binaya Institute of Technology, Cuttack
Modern Institute of Technology and Management, Bhubaneswar
Bhadrak Institute of Engineering & Technology, Bhadrak
Veer Surendra Sai University of Technology, SSC, Burla
Veer Surendra Sai University of Technology, Burla
Vikash Institute of Technology, BARGARH
Sanjaya Memorial Institute of Technology, Berhampur
Gurukul Institute of Technology, Chatabar
KMBB College of Engineering and Technology, Khurda
Samanta Chandra Sekhar Institute of Technology and Management, Semiliguda
Shibani Institute of Technical Education, Bhubaneswar
Subas Institute of Technology, Bhubaneswar
Silicon Institute of Technology, Sambalpur
Gopal Krushna College of Engineering and Technology, Jeypore
Jagannath Institute of Engineering and Technology, Cuttack
Government College of Engineering, Bhawanipatna
Maharaja Institute of Technology,Bhubaneswar
Vivekananda Institute of Technology, Bhubaneswar
Bhubaneswar Institute of Industrial Technology, Bhubaneswar
Barrister Ranjit Mohanty International Institute of Technology, Bhubaneswar
Government College of Engineering, Keonjhar
Parala Maharaja Engineering College, Berhampur
Einstein Academy of Technology and Management, Bhubaneswar
Vijayanjali Institute of Technology, Balasore
Orissa Engineering College, Nijigarh Kurki, Jatni
Gurukul College of Engineering for Women, Bhubaeswar
Balasore College of Engineering & Technology, Balasore
Nalanda Institute of Technology, Bhubaneswar
Satyasai Engineering College, Balasore
Raajdhani Engineering College, Bhubaneswar
Gandhi Institute for Education and Technology, Khurda
Bhubaneswar Institute of Technology, Bhubaneswar
Vedang Institute of Technology, Khurda
Rahul Institute of Engineering and Technology, Berhampur
Apex Institute of Technology & Management, Bhubaneswar
Mahavir Institute of Engineering and Technology, Bhubaneswar
Koustuv Institute of Self Domain ,for Women, Bhubaneswar
Indotech College of Engineering, KHURDA
HI-Tech College of Engineering, Bhubaneswar
Gandhi Institute of Science and Technology, Raygada
Majhighariani Institute of Technology and Science, Rayagada
Silicon Institute of Technology, Bhubaneswar
College of Engineering, Bhubaneswar
Gandhi Institute for Technological Advancement GITA, Bhubaneswar
TempleCity Institute of Technology and Engineering,TITE, Bhubaneswar
Konark Institute of Science and Technology, Bhubaneswar
Sundargarh Engineering College, Sundargarh
Suddhananda Engineering and Research Centre, Bhubaneswar
Gandhi Academy of Technology and Engineering, Berhampur
Modern Engineering and Management Studies, Balasore
Adarsha College of Engineering, Angul
Central Institute of Plastic Engineering and Technology, Bhubaneswar
National Institute of Science and Technology, Berhampur
Srinix College of Engineering, Balasore
Indic Institute of Design and Research, Bhubaneswar
Bhubaneswar Engineering College BEC, Bhubaneswar
Spintronic Technology and Advance Research, Bhubaneswar