In almost all of North India, the Tulsidas Ramayana, also known as the Ramcharitmanasa, is the most popular. Goswami Tulsidas rewrote the Valmiki version in Hindi in about 1574, changing it somewhat to emphasize Rama as an avatara (incarnation) of Vishnu. Another notable change was that Sita had a duplicate(chhaya sita), who was kidnapped while Sita remained safe.
The Kamban Ramayana is popular in the state of Tamil Nadu, and is of course written in Tamil. Segments of the story were changed to better reflect Tamil ideas, including Ravana not being as cruel to Sita.
These are just some of the versions and many more do exist.
1) North India - The RAMCHARITRAMANAS written by Tulsidas in the 16th century is the Ramayana version popular in North India.
2)JAMMU AND KASHMIR - The Kashmiri "Ramavatara Charita" was written in 19th century.
3)PANJAB- The Ramavatara written in 17th century by Guru Gobind Singh.
4)GUJRAT-The Tulsi-krita Ramayana is a Gujarati adaptation of Tulisdas' Ramayana in 17th century by the poet Premanand.
5) MAHARASHTRA- The Marathi "Bhavartha Ramayana" written by Eknath in the 16th century. There is also reference of a Ramayana being translated into old Marathi during the 12th or 13th century.
6)ASSAM-The Assamese "Katha Ramayana" or "Kotha Ramayana" in 15th century by Madhava Kandali.
7)BENGAL- - The Bengali "Krittivas Ramayan" written by poet Krittivas in 15th century.
8)ORISSHA- The Oriya "Balramadasa Ramayana" was adapted by Balarama Das in the 16th century.
9)AANDHRA PRADESH- The "Sri Ranganatha Ramayana" was adapted by Buddha Reddy and is the Telugu version of the Ramayana
10)KARNATAKA- The KANNADA versions of the Ramayana ' the "Kumudendu Ramayana" (a jain version), written in 13th century and the "Kumara-Valmiki Torave Ramayana", written in the 16th century. There is another version titled "Ramachandra Charita Purana" written by Nagachandra during the 13th century.
11)TAMIL NADU-The Tamil "KAMBARAMAYANAM", a popular version, written by poet Kamban in the 12th century.
12)KERALA- The Malyalan "Adhyatma Ramayanam Kilipattu" written by Thunchththu Ezhuthachan in the 16th century.
An URDU version is called the "Pothi Ramayana" and was written in 17th century by Chak bast