Heading to Greece in May. Arrive in Athens on Tuesday May 7 at 2 pm and staying in Plaka. Will be there from that Tuesday to Friday May 10 when I am catching the 7:30 pm ferry to Naxos. I plan on doing one of the food tours which is about 4 hours. Other then that nothing planned yet. Things I want to do : See The Acropolis and Ancient Agora ( Any other must see sites?) check out a museum, stroll through some of the neighborhoods, eat good local food, sit at a sidewalk cafe and relax. I’m looking for some advice/ideas on what to see and the best way to organize my time.

Athens has such an array of wonderful options! I would encourage you to do some research and think through your priorities in advance.
You might find some useful information in my trip report. The section on Athens starts with post # 181:
With Gratitude for a Glorious Solo Month in Greece
Enjoy!

I'm glad you found it useful! Thanks for letting me know.