We stayed 3 nights in Anatolij's apartment. The apartment was private for us but the host lived in the same building and he was very helpful and quick to answer and help.
The location was very good, by a quiet street. It was short walk to nearby restaurants and bars and also to the nearest tram stop.
There were living room with two large sofas, TV, writing table and a light bed. In the bedroom there was a double bed and lots of closet space for clothes etc.
The kitchen was fully equipped and had also a laundry machine.
The bathroom/toilet was nice with a bath tub.
There was a TV in the living room with a HD terminal device but it was little difficult to use. We needed some help to get it working and we didn't find any channels on it, only Youtube. There was a DVD player also.
We warmly recommend this apartment and host when you visit Riga.