If you were limited to identifying only 2 reasons why you prefer your particular Rite over all others, what would they be?
I will take the liberty of listing more than two reasons, because this question is one which can be answered in myriad ways.
I prefer the Byzantine Rite because of
(1.) Strong sense of the Sacred in Liturgy. Even in the least desirable jurisdictions, the Byzantine Rite has not been burdened with trendy, tacky, and profane music, nor with activistic busy-ness. I have yet to see middle-aged women wearing raincoats plodding into the sanctuary from the nave in order to disribute the Holy Eucharist (I did see this in a Latin-Rite church, at my cousin's funeral!).
(2.) Theological orthodoxy & clarity of the classical liturgical texts (some regression noted in the Ruthenian English-language RDL, i.e. the ambiguous language of "for us and our salvation" , and inappropriate use of "horizontal inclusive" language-but this only concerns one jurisdiction out of many).
(3.) The beauty of Byzantine Iconography.
(4.) The beauty of the music employed (whether plain chant or polyphonic choir music).
(5.) Liturgical stability-a lack of the "optionitis" which plagues the "Novus Ordo".
(6.) Beauty of the vestments. There was never this trend toward plain-looking vestments with trite ornamentation ( I know an ACROD "Pani" who makes vestments for a source of income. She tells me she also makes and sells modern Latin-Rite vestments. She says tht all you have to do is get a piece of fabric and cut a hole in it, and you can sell it for more than you would get for Greek or Russian-style vestments), or, worse, profane ornamentation. In the latter category, I once saw a picture of an RC priest wearing a chasuble with the logo of the Detroit Red Wings hockey team on it (they had just won the Stanley Cup).
I am saying this as a former Latin Rite Catholic who is still "grossed out" by a lot of the post-conciliar innovations, from the 60's on, in the Western Church. Happily, we have a reigning Pope who is equally "grossed out", and is trying to purge the Church of all of these undesirable elements.
In Christ,
Dn. Robert