I definitely think "sitting" meditation can be a great tool, as one can see from all the comments above.

They are not necessarily mutually exclusive (they can actually complement each other well), but for me I've always had a harder time doing 'sitting'  meditation versus practicing martial arts, which seems to make me reach a seemingly equivalent 'flowing/aware/thoughtless' state.   On the plus side, the results of the exercise itself also help combating anxiety in an amazing way.

So if you feel inclined, do try out some martial arts. Brazilian jiu jitsu is what I've been doing, and I think it is very fitting due to the lack of impacts/strikes and 'using positioning, strategy and leverage instead of strength', but I bet you could get similar psychological/spiritual results from other disciplines.