Once you have browsed the traditional little shops around the center continue to the slightly less charming, but fascinating Soviet area down the street Laisves Aleja. Here you can find more shops, museums, statues and the beautiful St. Michael the Archangel Church. The center does not provide much else.
I was however taken to a Devil museum! Lithuanians love three things- Mysticism, Basketball, and hating on Russians. The Devil museum falls under the first category and had a collection of devils from Old Lithuanian times and from all around the world. Basketball is everywhere, even decaled in flowers on the side of the river, and even though many Soviet buildings remain the Lithuanians make sure to denounce them and most Russian politics quite regularly.