Missouri has some of the most permissive alcohol laws in the country. All types of alcohol are available virtually everywhere including grocery stores, gas stations and even drive up liquor stores are common as Missouri law does not permit dry towns or counties. Open container alcohol in plastic glasses is permitted in the Power and Light district of Kansas City. The Delmar Loop in St. Louis has many bars of many different types and live music is common, especially on the weekends. St. James is home to the St. James Winery. They offer free tours and samples. That area also has various other wineries and they are easily accessible from Interstate 44.
Be sure to visit the Anheuser Busch plant in south St. Louis, they offer tours and free samples. It is very easy to get to from Interstate 55.
Be sure to also visit the Boulevard Brewing Company plant near downtown Kansas City, they offer tours and free samples. This is a regional brewery with a more organic taste. It is easily accessible from Interstate 70.