The Western Church's calendar ranks the various days of the year according to the precedence one obervance takes over another. If you care to follow this traditional precedence rather than just the somewhat loosely defined precedence listed in LSB's calendar (which also happens to be rather idiosyncratic), then there is only one feast day that falls on a Sunday this summer: June 24, The Nativity of St. John the Baptist

While July 22, St. Mary Magdalene, also falls on a Sunday, this feast does not traditionally rank as a feast that takes precedence over a Sunday in Trinitytide. If you choose to elevate it to that level in your local custom, the traditional propers as assigned in Daily Divine Service Book will certainly give you a chance to preach about the DaVinci Code. . . 

Especially if you serve in a parish that does not have a midweek service to catch the big observances that fall during the week, you may wish to consider transferring some of the First Class or Major feasts to Sundays, especially in the "long green stretch" of Trinitytide. These are:

June 11, St. Barnabas

June 29, Sts. Peter and Paul

July 2, The Visitation

July 25, St. James the Elder

August 15, St. Mary
August 24, St. Bartholomew
August 29, Beheading of St. John the Baptist

September 14, Holy Cross Day
September 21, St. Matthew
September 29, St. Michael & All Angels

I would not recommend transferring all of these days - that would interrupt the flow of Trinitytide. But especially in summers like the one ahead of us where only one feast falls on a Sunday, transferring in one or two others to Sundays is helpful. 

Full propers for all of these feasts are included in Daily Divine Service Book. 

+HRC