Georgia. Depending on your preference for hot weather, Georgia could rank above Florida on the list of top 10 states for best weather. Athens, Atlanta, Augusta, Columbus, Macon and Savannah stay a little cooler than Florida through most of the year, which makes these places more comfortable in May and September.unner-Up States For Best Year-Round Weather. The US states named as runner-ups for best year-round weather get a little cooler, especially from November to March, than the states on the top ten list.