Even within Cluj you have some nice places to take photos, but they aren't that well known.
For instance from the Belvedere, you can have a view of the whole city (especially at night).
Another one is on the Somes river trail
Hoia Forest: https://en.wikipedia.org/wiki/Hoia_Forest
From outside there is also: http://www.imperialtransilvania.com/read-more/argomenti/places-of-interest-1/articolo/the-blue-lagoon-of-aghiresu.html