The famous questions that I hate being asked when I want advice is what does she want to do with it (meaning what kind of pictures, as in travel, action, kids, etc), how compact and how much she cares about pixel level quality and lenses.
If you aren't that picky re quality of the lenses I liked the Sony Nex 6 with the 16-50 kit. It's very compact for that sensor size, has very good sensor and pretty decent focusing.
Another one as compact could be a Panasonic GX or the GF series with X compact zoom lenses and potential for very compact primes (you could substitute the Olympus EPM or EPL for the Panasonics).