My reasons are perhaps a little bit more “bland” than most others who will post here. I’m technically still a Latin Catholic, but I practice full time in the Melkite Church (though I still participate in pastoral events and certain Holy Days at our local Dominican parish, which I adore).
What drew me initially was the Liturgy time; when I entered the Catholic Church as an adult (I was Baptized Catholic as a child but not raised as a Catholic past First Communion, which I didn’t even believe in when I received it) the only time I could make it to Liturgy happened to be the local Melkite/Maronite Mission. So I went, got to know the community, formed bonds, and gradually became a member of the community.
Of course I love the Divine Liturgy, and the flavors of the Byzantine tradition (if I didn’t then I wouldn’t remain there), but I guess it wasn’t so much about feeling unfulfilled in the Latin Church, or being overwhelmingly drawn to the East the way that many here describe it (I wasn’t suddenly awe-struck by the Divine Liturgy of St. John Chrysostom, at least any more than I am by any other Liturgy, Latin or otherwise, but that may be because I’m accustomed to a very reverent Dominican celebration of the Mass). I’m still amazed and awe-struck at the mysticism and richness of the Latin Church, and I love its devotions. I just also feel the same way about the Melkite Church and the unique Byzantine traditions, and the Melkite Church happens to be my “home” spiritually if not on paper.
I’m a Catholic in the general sense of the word, and I find myself “at home” in the Catholic Communion. The fact that I can worship within and fully embrace the Byzantine and Latin traditions without having to compromise either is a wonderful gift of our Communion, and I feel blessed to be able to partake in that mystery.
When I’ve settled what my path in life will be I will quite likely go through the full Canonical Transfer if my vocation doesn’t take me towards a Latin religious Order. I certainly didn’t leave one for the other, though, I simply became more Catholic for exploring more broadly and deeply.
Peace and God bless!