I assume you did not make this, as I remember seeing something vaguely similar at the Basilica of the National Shrine (I believe at the Ruthenian exhibit?). Nevertheless, some comments:
1. It would perhaps be useful if the “Roman” tree included the Dominican, Bragan, etc. rites. (Also maybe some mention of the Ordinariate rite[s].)
2. “Bulgarian/Church of the/Byzantines/Greek” seems somewhat prone to misreading because of the awkward sense-lines. In fact, I don’t know if that whole sub-branch is even necessary, since the only true liturgical variation between the Byzantine-rite churches is if they follow Slavonic or Greek tradition.
3. I don’t know what a “Pure Syrian Rite” is but I’ve never seen one before.
4. I believe most scholars still consider the Armenian Rite to be sui generis.
Correct. I did copy. I picked it because someone with zero knowledge of Rites (which, in my experience, is usually the case) usually needs something that breaks it down easily.
1. If I were to do this myself, I would indeed include those by doing to the Roman what this graph did to the Byzantine Rite.
2. I would greatly simplify the Byzantine to Greek/Slavic/Arab/Romanian.
3. That is a bit of bad wording for the Rite used by the Syrian Catholics and the Jacobites. I would just remove the word “Pure”.
4. It is in a way. Like the Byzantine it emerged from the early days of Liturgy (when things were more loose) and avoided being centralized under one of the bigger tents. If one observes an Armenian Liturgy, both the Syrian and Byzantine overlap is noticeable (as well as the later Roman influence).
I have a question on India. From my perfunctory search, it seems like the country is home to two Oriental Orthodox Churches. Do I have that right? Also, which Rites do they both use?
I assume you speak of the Malankara Orthodox and the Syrian Jacobite Malankara Orthodox (or something like that) ? The only difference between the two is structure. One is under the West Syrian Jacobite Patriarch of Antioch while the other is independent with its own Patriarch. They are both in communion with each other and use the West Syrian Malankar Rite (basically, the West Syrian Rite with Indian customizations and maybe a few remnant bits from when they were East Syrian Malabar Christians).
The Ecclesial Vigilante 
I assume you did not make this, as I remember seeing something vaguely similar at the Basilica of the National Shrine (I believe at the Ruthenian exhibit?). Nevertheless, some comments:
1. It would perhaps be useful if the “Roman” tree included the Dominican, Bragan, etc. rites. (Also maybe some mention of the Ordinariate rite[s].)
2. “Bulgarian/Church of the/Byzantines/Greek” seems somewhat prone to misreading because of the awkward sense-lines. In fact, I don’t know if that whole sub-branch is even necessary, since the only true liturgical variation between the Byzantine-rite churches is if they follow Slavonic or Greek tradition.
3. I don’t know what a “Pure Syrian Rite” is but I’ve never seen one before.
4. I believe most scholars still consider the Armenian Rite to be sui generis.
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Correct. I did copy. I picked it because someone with zero knowledge of Rites (which, in my experience, is usually the case) usually needs something that breaks it down easily.
1. If I were to do this myself, I would indeed include those by doing to the Roman what this graph did to the Byzantine Rite.
2. I would greatly simplify the Byzantine to Greek/Slavic/Arab/Romanian.
3. That is a bit of bad wording for the Rite used by the Syrian Catholics and the Jacobites. I would just remove the word “Pure”.
4. It is in a way. Like the Byzantine it emerged from the early days of Liturgy (when things were more loose) and avoided being centralized under one of the bigger tents. If one observes an Armenian Liturgy, both the Syrian and Byzantine overlap is noticeable (as well as the later Roman influence).
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I have a question on India. From my perfunctory search, it seems like the country is home to two Oriental Orthodox Churches. Do I have that right? Also, which Rites do they both use?
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I assume you speak of the Malankara Orthodox and the Syrian Jacobite Malankara Orthodox (or something like that) ? The only difference between the two is structure. One is under the West Syrian Jacobite Patriarch of Antioch while the other is independent with its own Patriarch. They are both in communion with each other and use the West Syrian Malankar Rite (basically, the West Syrian Rite with Indian customizations and maybe a few remnant bits from when they were East Syrian Malabar Christians).
I have written two pieces on the Christians of India.
https://ecclesialvigilante.wordpress.com/2015/02/28/st-thomas-christians-part-1-the-malabar-church/
https://ecclesialvigilante.wordpress.com/2015/03/17/st-thomas-christians-part-2-of-2-the-malankara/
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