How about you post the ones you have questions on as the questions pop up? There's just so many
The Orthodox wiki
is always a good resource.
For what you've posted so far-
Matins/Orthros- the same service, just one's a "Latin" name (Matins) and one's Greek. The first service of the day in a parish setting, usually celebrated right before the Divine Liturgy (though parishes in the Russian tradition might celebrate it as part of a Vigil- the celebration of Vespers and Matins together)
Vespers- the evening service, usually around sunset. Also the start of the new liturgical day, when the saints and feasts of the following morning are commemorated.
Compline- Comes in Great and Small varieties. Usually an after dinner or before bed service. Greek tradition used to be to pray Small Compline as the evening prayer in the home.
Hours (you didn't ask, but it goes along with these)- First, Third, Sixth, Ninth, Midnight corresponding to ancient tracking of the hours of the day, First is around seven am, Third around nine, Sixth around noon, Ninth around three, midnight around midnight (Midnight prayers were often the home morning prayers in the older Greek tradition, and are reflected in most of the Morning Prayers found in prayer books).
Regarding the Divine Liturgy- Don't want to cause information overload, so we'll start with some basics-
Liturgy of the Catechumen- The part leading up to the Gospel reading (and possibly homily following). In some parishes it ends with the Litany for the Catechumens after which you might hear "All catechumens depart". This is a hold over from the days of persecution and catechumens are usually not expected to depart.
The Small Entrance happens during the Liturgy of the Catechumens and is when the priest circles the altar, walks into the middle of the church with the Gospel, and goes through the Royal Doors (those doors right in front of the altar).
Liturgy of the Faithful- the latter part of the service. Cherubic Hymn (Let us who mystically...) through Epiclesis (end of the communion prayers, when the Holy Spirit is called upon to effect the change).
The Great Entrance- Middle of the Liturgy of the Faithful, when the priest walks around the Church with the bread and wine which are to become the Body and Blood.
Anaphora- prayers over the Bread/Wine Body/Blood.
Dismissal- about 15 minutes left in the service.