Chouyaku Hyakuninisshu: Uta Koi., Kochouki: Wakaki Nobunaga Recommendations
There are several details which reminded me of UtaKoi while watching Kochouki. You can mostly see both are historical, so everyone interested in Japanese history will find its place on any of these shows.
On the other hand, both series have a good dose of drama. In Nobunaga's case, his story is told from his family drama perspective, which makes the show interesting from that side. UtaKoi makes more emphasis on the comic aspect of history: love affairs, jealousy, art.
In general terms, if you are a lover of historical shows with relationships between people as a highlight, then both shows deserve your time.