Looks like just a temporary website glitch as aa.com is showing fares again. AA tends to load schedule changes on weekends which may be part of it. Note that shifting trip from 8/6 - 8/15 to 8/5 - 8/14 will potentially save $130 per ticket as there are cheaper fares valid for Sun-Wed outbound flights and Tue-Fri return flights. For these midweek flights in August, roundtrip fares start at $1420 Basic/$1620 Main (for AA/BA flights through LHR). Suggest you also check on ba.com as British Airways can have availability in cheaper fare classes on same flights.
Fares are significantly cheaper in September, but I'm guessing your grandkids are younger and have to go back to school.
Originally Posted by
1worldFlyer
You can also take AA to BUD or PRG or MUC and connect to VIE by train.
BUD-VIE is 2 hr 40 min on the EuroCity train.
AA/BA BUD fares are indeed signficantly cheaper. PHL is also a connecting option here.