Thylakoids
THYLAKOIDS MIGHT EXIST without Cyanobacteria
Thylakoids are the membrane-bound organelles compartments inside all organisms containing Cyanobacteria (as well as Cyanobacteria themselves) which are the site of the light-dependent reactions of photosynthesis.
This is another "chicken and the egg" type of question, as it is unclear whether the ancestors of Cyanobacteria contained thylakoids, or whether it was the development of thylakoids which turned proto-cyanobacteria into Cyanobacteria. Nothing that doesn't contain Cyanobacteria/isn't a Cyanobacterium has thylakoids though.












