I am a member of an Antiochian Western Rite Parish and we use mainly English, although our Priest will do some of the Eucharistic Canon and some seasonal hymns/ sequences in Latin.
I have a 1962 Tridentine Rite missal with both Latin and English; when I was first learning the liturgy I would follow along and there are very few differences (obviously, when we sing the creed, there is one less word).
The English translations we use are almost identical, with the beautiful thees and thous (no inclusive, or PC language). All the musical parts of the liturgy are gregorian chant. We do the Divine offices, vespers on Saturday evening, Lauds on Sunday morning before Mass/Divine Liturgy, and Compline after any midweek bible study or special service. All the Psalms are chanted exactly the way they have been for hundreds of years, in Gregorian Chant (we follow the modes set by the Church) with the congregation divided into two "choirs".
We were a little shaky when we first started square note reading, but now it's almost second nature.
In the offices we do the seasonal Marion antiphon/hymns. Again we do it all in English, but I have attenteded Tridentine Latin Mass (with my husband, who is Roman Catholic) and can do the Mass in Latin. I have also learned some of the Beautiful Eucharistic hymns and seasonal sequences in Latin....Ubi Caritas, Tantum Ergo, O Salutaris Hostia, Ave Maria, O Sanctissima, Adoro Te Devote. Adoramus Te, and Ave Verum (Please forgive any misspellings....I can sing them, and know the English translation, but don't ask me to spell them.
I have also attended Eastern Rite Liturgies, and they were in either all in English or a mix of English with some Greek.
After awhile, what seemed at first to be two very different rites, have more in common than not as I have become more familiar with them. Some think that the Western Rite is "Roman Catholic", but it is as ancient and was used far and wide in many forms before and after the Schism in the Orthodox Church. There are several Western Rite ancient Liturgies, just as there are different Eastern Rite liturgies.
I am only familiar with the St. John Chrysostom Liturgy (Eastern) and the Western Rite that is very much like your Tridentine Latin Mass, though I have read through many others and hope some day to be able to attend some.
And as a former Protestant, who belonged to a church that based everything in scripture, and attended years of Bible studies, I must confess I have learned more scripture, as it weaves in and out of my everyday life through the traditional Worship and Prayer of the Church, the same prayers and liturgies that Christians have been using for many generations.
Times may have changed, but human beings haven't, and I am grateful for those who guarded and preserved the faith, some with their life blood, so that I am able to receive the fullness of the Gospel and Grace that has been handed down since the time of the Apostles.