Henry VIII is most famous among numismatists for being the institutor of the last major debasement of English silver coins. His final series of "silver" coins was only .330 fine; the coppery-coloured metal was given a silver wash, but after a brief period in circulation, the silver layer wore away, showing the copper through on the high points. This earned Henry VIII the derogatory nickname of "Old Coppernose".
There are also some coins in Henry's name, issued by his son, Edward VI. Henry left the economy (and the coinage) in such a shocking state that the new king couldn't afford to restore the silver fineness straight away, so old, debased silver coins with Henry's name and portrait continued to be made for the first four years of Edward's reign - he didn't want his name associated with rotten coinage, like his father's was.
There are some varieties of Henry VIII coinage that are quite cheap; you should be able to find some in collectable condition for less than $100.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis