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You can use AA partners and oneworld partners; the oneworld interactive schedule and route map helps with the latter.

As well, it would be a good idea to read the FAQ thread and the MileSAAver / SAAver Award Availability - Assistance & Discussion (consolidated) thread, where this will be merged.

You will want to minimize the use of BA, as using AAdvantage miles for an award on BA will incur significant YQ fees.