Try the Qantas site to help your search. It won't cover all the right partners but can help.

Are these 2 separate roundtrips? Or are really trying to fly to ZRH in June and then back in July?

If you can fly on 6/2, IB has added new flights which probably have open award seats (IAD-MAD and BOS-MAD) and could help get you there.

Here's an award close to what I think you want.
6/1 SFO-BOS-LHR AA150/AA156 (arrives 8:30pm)
6/2 LHR-ZRH BA710 (7:10am-9:50am)
6/10 ZRH-JFK-DFW-SFO AA65/AA1389/AA1269

If you really meant a June to July trip, then there's:
6/5 SFO-JFK-LHR-ZRH AA178/AA116/BA716
7/17 ZRH-MAD-IAD-DFW-LAX IB3475/IB6241/AA541/AA2489

P.S. I guess your question is for the AA forum though.