cranio = κρανίο (skull) tomy = τομή (cut)
And -tomy is just a cut, not cut a hole. To cut a hole you'd have to remove a part. Most of the cuts are straight lines and then the skin just opens up like a hole because of stretching.
Then, -ostomy is -stomy. Nephrostomy. Nephro-stomy.
Nephro = Νεφρό (Kidney) Stomy = Στόμιο (something that has the shape of a mouth)
-ectomy is correct...
Resource: I'm Greek in a family of 4 doctors.
Are these terms still used as-is in modern Greek? Much like how translating names of French dishes removes some of the air of sophistication, I feel like being told one is to receive a ‘skull cut’ sounds somewhat more scary than the (to an English speaker) academic-sounding ‘craniotomy’.
Other English terms from the Greek root for “cut”: tomography (imaging through a lot of cross-sections); entomology (study of in-sects, critters with sect-ions in their bodies); dichotomy (division into two possibilities); atom (that which cannot be divided).
(Complaints about noun morphology sound a bit hypocritical from a native speaker of Russian, I know, but it is what it is.)
Edit: I just did an internet search and found you use Chinese or Turkish instead. Never mind me.
One of the tricky parts, if you plan to actually use the idioms, is that they very greatly between different regions that use the same language. Particularly tricky with Spanish, considering so many countries on so many different continents use it. I haven't found LLMs to be good at knowing what regions use any given expression.
Let me just add, that in the Western Medicine many words from anatomy come from Latin and many words from physiology/pathology come from Greek. Of course the Greeks themselves have their own words for anatomy as well.