This is a daily prayer website, podcast and application that was created in 2006 by the Jesuits in the United Kingdom. It offers a daily meditation following a simple format in a contemplative style – music, invitation, scripture reading, reflection questions, second reading, reflection, invitation to prayer, closing. It was originally designed, as its title suggests, to have something “on the go.” You can listen while driving to school or work, while walking or with your morning coffee.
Here's a wonderful list of Inclusive Versions of the Prayer of Jesus. I don't know who compiled it, but most of the prayers are cited for use!
P.S. I would not use the title, 'The Prayer of Jesus': so far as we know, this was never a prayer Jesus prayed. This is the Prayer Jesus Taught Us, the prayer Jesus instructed his followers to pray.