How to build an intersection of road and avenue without traffic lights
1A
If you have no avenue or nothing at all, then built roads so they would close in adjacent tiles:
1B
If you already have an avenue, tear it to pieces with buldozing one by one tile in a places where you want intersections:
And then built roads so they and avenue's parts would close in adjacent tiles:
2
Join them all with building an avenue:
3
Join avenue's strips with streets:
(It's impossible to build a street in a place where road intersects an avenue.)
4
Result will look not bad:
traffic mobility won't decrease:
and no more jam: