Earlier quoted context omitted.
Hello from Vilnius, the City already has parking zones. As a normal person its very hard to park in the City center. Here is some information: https://www.govilnius.lt/plan-your-trip/getting-around/parki... Also, some streets are already car-free and only delivery vehicals can enter them.
Traffic in Vokieciu, Traku, etc streets is a shit show. I've been advocating for ages the old town needs to be shut completely. It has such an amazing potential if not for stupid cars there. That said, Vilnius needs to improve traffic hotspots a lot. Rush hours exist everywhere, but Vilnius is noticeably bad. Bus lanes needs better isolation too (some form of Rapid Bus implementation).
What I think Vilnius needs is a metro. Since you can not just create new road lanes in the old town.