Cross tires that work on street and trail
There are many, i can't recommend one because that is not what the site is for.. However look for one with micro knobby center and more aggressive shoulder knobs. Something that when going straight on pavement will offer low rolling resistance but has plenty of bite in the corners. Many brands make them.

One other approach would be to decide which is more important or more frequent for you and lean more towards that style of tire. For example if you are more concerned with riding trails and not so much with the extra effort they will require on pavement then go for something knobby but densely spaced such as something like this:

or this


Or if you are more concerned with smooth rolling on concrete but want a little bite on the random occasion go for something more like this with a smoother center.


or this