This is hard for me to judge, but Brasilian composer and musician Marcelo Birck ought to be fairly well-known at least in South America. Since the mid-80s he has played in a number of bands whose music straddle the divide between contemporary classical music and the Jovem Guarda (as well as the British Invasion that informed it). One of his lesser known groups however, is one he formed together with Leandro Blessman at the tail end of the 90s. Os Atonias released a single album in 2000, and as you can guess the concept was 60s beat with atonal and electronic elements. I don’t understand the lyrics, but I understand they contain a healthy dose of humour. Os Atonais is much more than a novelty band though, the sheer quality of their compositions would rival the best of Brasil’s 60s groups.
This is music for people who like Mark & the Spies and other current groups who go to great lengths to recreate authentic beat recordings. For anyone who wants to know more about Birck, google translate this lengthy article in Portuguese. And listen to the only track in English from Em amplitude modulada below.