Blue Gray Gnatcatchers (Polioptila caerulea) flit around in the Palo Verde and Mesquite scrub North of Phoenix. Their sounds are very quiet and unmusical, but they apparently do the job.
The Black-Tailed Gnatcatcher (Polioptila melanura) is a common inhabitant of the desert scrub - you'll find them where you find the Verdin and Black-throated sparrows, both of which were present when I recorded these!
This Long-billed Gnatwren (Ramphocaenus melanurus) sings at the top of the Mirador Trail in Manuel Antonio (Costa Rica). Here are two more examples of the call with slight variations.
This is an example of a Long-billed Gnatwren (Ramphocaenus melanurus) recorded on the road leading out of Bribri, near Puerto Viejo de Talamanca (Costa Rica), 6/22/99.