The two crossword solutions for the term 'START OF MANY A BUMPER STICKER' are 'HONK' and 'IHEART'. These terms are often seen on bumper stickers, which are small adhesive labels that people attach to their cars. 'HONK' is a four-letter word that is used to indicate a sound made by a car horn. 'IHEART' is a six-letter word that is used to express love or affection for something. Both of these words are commonly used in bumper sticker slogans, such as 'HONK if you love pizza' or 'I heart my cat'.