I found this
geocities.com/Vienna/Strasse/5816/compare.html today, and I think you may find it useful if you wish to examine the differences between the Novus Ordo and the Tridentine Mass. The site that hosts this comparison chart seems to be schismatic at best, so I would caution against reading anything else on the site. But the chart is a good way to see the two orders of the Mass site by side in English. There is a site which lists both orders of the Mass in Latin found here
latinliturgy.com/masstexts.html on a legitmate website. lol.
Now, as for the difference betwen a “Tridentine, Novus Ordo, and Latin” Mass, there essentially is none since both are valid orders of the same Mass. The Sacrifice offered at the Tridentine Mass is the same Sacrifice offered at the Novus Ordo Mass, so the only difference is in form. Now as for Latin, the Second Vatican Council affirmed that Latin is the normal language for the Mass, and that the use of the vernacular during Mass is permitted. The Novus Ordo can be celebrated entirely in Latin, and the priest is EXPECTED to celebrate Mass ad orientem (note that in the GIRM, the instructions are written under the assumption that the priest is facing the High Altar and that he is celebrating in Latin). Permission was given for the priest to say Mass facing the people, and now that has become the norm in America.
Despite the protestations of the USCCB (particularly the bishop of my diocese, who was instrumental in the promulgation of the new ‘national norm’), the Vatican has affirmed that one may kneel during communion and one may not be denied communion while kneeling (thankfully this has never happened to me, but it has happened to a friend of mine who knelt to receive Our Lord at a Mass celebrated by our bishop).
So… with all that said, the only thing that has changed is the form. Both orders of Mass are equally valid and equally beautiful, and both are to be celebrated Ad Orientem and in Latin unless there’s a good reason not to.