I attend a parish which celebrates the Pauline Mass (I know that statement’s going to garner me quite a bit of criticism just by itself, but I’m going to come out and say it straight up), and for as long as I could understand what was happening, the Masses have remained reverent. Sometimes one of our four friars will use a bit of religious humor to begin his homily (usually related to the theme of the Scripture readings), but after that he will get to the meat of it, which is focused on the readings for the particular Sunday and Jesus’ words in Scripture. Same with our other friars, although one has used his homilies as a platform for his personal political beliefs (which I don’t think is very proper of him). So far as I have seen, the friars follow the rubrics and the proper care and reverence is shown for the Blessed Sacrament by both Ordinary Ministers and Extraordinary Ministers of Holy Communion; usually any irreverence is on the part of the laity in the congregation, though I would think it’s due to lack of instruction on how to appropriately receive Holy Communion. I have received on the tongue and in the hand (though mostly in the hand, but have received on the tongue when I have preferred it). Whatever method I have chosen to receive Him, I have done it with utmost reverence because I know Jesus is truly present, and I wouldn’t want to offend Him by doing anything other than consuming Him, Body, Blood, Soul, and Divinity.
The music is a blending of traditional hymns and hymns that are more recent compositions, and of course we do use Latin occasionally (especially during Holy Thursday, when we sing St. Thomas Aquinas’ “Tantum Ergo”, which is a beautiful hymn; “Parce Domine” is one that we used this year for Ash Wednesday, as well as during Lent). I believe that, since we acquired a new music director at the parish about six years ago, the music has come to mean more to me than just words and notes, harmonies and descants. It’s about entering into the worship of God and the mystery of the Sacrifice of the Mass. Heck, while we were singing the (English) verses of “Tantum Ergo” during the procession of the Blessed Sacrament through the church, I felt impelled to genuflect as the pastor slowly made his way past the choir corral, holding the ciborium beneath the cloth around his shoulders. It was a very emotional moment for me, since the Lord in the Blessed Sacrament had passed so near me.
One very good way of fostering devotion in our parish has been through First Friday Adoration (formerly overnight Adoration, which started immediately following the Saturday vigil Mass until just before the first Mass celebrated Sunday morning). I’ve tried my best to go each time, though sometimes I’m not always able to focus and pray. Very recently, a new element that has been brought to our Eucharistic Adoration is music; our parish music director has done a half-hour of music for an Audience of One, and both times it’s moved me to tears. It’s like having a little taste of the Banquet of Heaven for thirty minutes. Though the parish has seen changes in the position of the pastor and some of the music (we haven’t done any rock or secular music, though, it’s all been strictly liturgical), I believe that my parish has remained reverent and has effectively fostered my Catholic faith.
I’ve never been to what some people deem an “irreverent” Mass, at least not to my knowledge or that of other parishioners, although I have very limited knowledge right now of just what would constitute such a Mass.

However, I don’t believe that I’m a person endowed with the authority or knowledge to deem a Mass irreverent or not. That, I believe, is best left to those with the authority and knowledge to judge correctly. I’m just a lay Catholic who, though a miserable sinner, is trying to walk more closely with her Lord and submit herself to the teachings of Holy Mother Church as taught by Pope Benedict XVI.