Two of the rarer flycatchers to are the Tufted Flycatcher and the Buff-breasted Flycatcher.
First, the Tufted Flycatcher. Less than 10 records in the United States, split between Southwest Texas and Southeast Arizona. (Ramsey and Carr Canyon in the Huachuca Mountains). It is the smallest flycatcher in North America and has been nesting here for the past three years.
Second, the Buff-breasted Flycatcher found only in Southeast Arizona (Mount Lemmon in the Catalina Mountains).