SelectQuery (returned by DbDataAdapter.Select) should have the following methods:

• SingleAsync
• ToDictionaryAsync
• ToDictionaryListAsync
• ToListAsync
• ToRecordSetAsync

Async versions for other DbDataAdapter methods:

• DeleteAsync(Query)
• UpdateAsync(RecordSet)

I'm not sure that Insert/Update for single record should have async versions (insert/update for one record is usually fast enough -- lets wait until someone really asks for them).