Angleter wrote:The Third Nova Terra of Scrin wrote:Can I ask the Eastern Orthodox and Catholic peoples here what are the differences between Catholic and Orthodox practices and liturgy?
That's a tricky one. There are Byzantine Rite Catholics whose liturgical practices are more or less identical to Orthodox ones (save for some imports from the Roman Rite, which are frowned upon by the hierarchy). The main difference, therefore, would be that while the Orthodox Church has one single rite (the Byzantine Rite, in Catholic parlance), the Catholic Church has many - there's the dominant Roman Rite (with a number of localised 'uses' and two universal 'forms'), several other Latin Rites used in certain localities (such as Milan's Ambrosian Rite) and certain religious orders (such as the Dominican Rite), as well as the rites specific to Eastern Catholic churches (Byzantine Rite, Maronite Rite, etc.).
But then in the Byzantine Rite (and perhaps other Eastern ones), there are different Divine Liturgies (i.e. the liturgy has different prayers) at different times in the year. And the Ordinary Form of the Roman Rite has a variety of different prayer options. And massive stylistic differences within the Ordinary Form of the Roman Rite. Really, I'd say the best way to identify the differences between the rites (and forms and uses) is to watch videos of them (or attend them, if at all possible).
This is correct, although I would add that since non-Latin-Rite Catholics are such a tiny minority (and they copied their practices from the Orthodox Church or the Oriental Communion anyway), it would be mostly accurate to refer to the Latin Rite as "Catholic practice and liturgy", and to the Byzantine Rite as "Orthodox practice and liturgy". The non-Latin Catholics (and the non-Byzantine Orthodox, which also exist, but are even fewer) can be left out for the sake of a basic introduction.
Angleter wrote:Byzantine Rite - Divine Liturgy of St. John Chrysostom in English (this seems to be by the Ukrainian Greek Catholic Church)
That's not a good visual introduction to the Byzantine Rite, however, because the Liturgy is celebrated in a place that looks absolutely nothing like a normal Byzantine-Rite Catholic church (let alone an Orthodox one). There is no iconostasis, for one thing, so when doing the Little Entrance and the Great Entrance the clergy are pretending to pass through doors which do not exist. If this video is your introduction to the Divine Liturgy of St. John Chrysostom, you may not even realize that there are supposed to be doors for the clergy to pass through.
Of course, there's nothing wrong with celebrating the Divine Liturgy of St. John Chrysostom in a place that has only an altar and nothing else (technically, all you need is an antimension, a consecrated cloth issued by the bishop, which can be placed on any flat surface to make an emergency altar). But that is very much the exception, not the rule. A good introduction should show the Liturgy as it is ordinarily celebrated. And this video does not show that.
So I went on YouTube to find a better example of what the average Orthodox Liturgy (i.e. Byzantine Rite liturgy) looks like. This also means excluding all those videos that show a Patriarch or a bishop celebrating the Liturgy, because that's a special form (a "hierarchical" Divine Liturgy - i.e. one celebrated by a member of the Church hierarchy) which does not accurately reflect the common Sunday experience. Of course, those also happen to be the most beautiful and professionally-recorded videos, so if you're interested in seeing a hierarchical Divine Liturgy in all its glory, let's just go all the way and have a look at the Paschal Divine Liturgy celebrated by the Patriarch of Russia in Moscow's Christ the Saviour Cathedral. That's about as extravagant as it gets.
But the common Sunday Liturgy looks like this:
Divine Liturgy (of St. John Chrysostom) in English and Arabic at St. Mary Antiochian Orthodox Church in Livonia, MI, in the United States
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Revelations 3 says something about that last part. 
