While there are similar questions here and here, the examples of those questions have stronger passports (US & Japan) that either don't require visas or will get them easily/on arrival. I possess a South African passport (which requires a visa to go to pretty much anywhere in the first world) and Greek ID.
I cannot renew my Greek passport due to lack of military conscription exemption (I do not yet qualify for exemption due to not having worked long enough abroad).
If I'd like to travel to any non-Greece member state, will I get through with just an ID if coming from outside the EU? For the sake of example, Romania.
I asked the consulate near me and was directed to this page, which seems to mostly answer "you need to enter with passport, but lacking that have some sort of document proving EU citizenship. You may still be refused". I satisfy that with a Greek ID but with the caveat I could still be refused So it's a large vague "it depends", and I'm hoping someone here will have a more concrete answer.
This question comes from distrust - I've seen frequent discrimination for South African passports during international travel, so even with "EU ID backup" I may still have issues in transit.