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To be honest, you can get used Nikon D3300 or Sony DSC WX500 and they are really good. I just wanted to find out if there are any other options...

You certainly can, I had a Sony A37 before that now sells quite cheaply, but what's really important for good photos are the lenses you use - an old DSLR with a kit lens is worse than a newer compact camera in most situations, it only makes sense of you plan to get more lenses