My first 78s were "Praise the Lord and Pass the Ammunition", and Harry James doing an incredible custom arrangement of "Flight of the Bumblebee". Not much into 45s, but I remember buying four: "Itsy Bitsy Teeny Weeny Polka Dot Bikini" (Brian Hyland IIRC), Volare, in English/Italian; "Hurcules" - anybody remember that one?; Battle of Kooka Monga
First LP that I actually bought was "Hatari!" music by Henry Mancini. No. 2 was "Toscanini Plays Light Classics". I've never looked back.