Yes.. Every 200 years they go up in value! If you get yourself some nice uncirculated and in Mint State then they are nice to collect.
Circulating bicentennial quarters are common as could be. Twenty-five cents is about all they will ever be worth. However being the hoarder that I am I still pull them out of my change and throw them in a cup in my safe. The halves aren't uncommon. The Ike dollars make for a nice presentation piece. But all are fairly common.
As the more experienced collectors note, they are not very rare. I started keeping the quarters just because they were different, and they came out while I was in high-school. It was rare for the mint to do "special circulation" coins in my recollection back in those days. The habit of saving the quarters persists today, and I have a half gallon of them for no good reason. They are becoming harder to find in circulation and I suspect that is due to rubes like myself keeping every one they receive in change. I did pick up a proof set in silver - the mint produced a nicely packaged three-coin set with the dollar, half and quarter, which you can find for under $15 if you look around. best mqqn
Truly exceptionally high quality pieces are now being received as collectible, but I'm talking mega-pristine examples. They were kind of nicely struck, for the most part.
Back during the bicentennial a friend and I went to a bank in the largest big city in the area and asked for and received a roll each of halves and quarters, all Phildelphia mint. For grins we also got a couple of rolls of nickels, dimes and ten dollars of cents. Last time I checked they were still not worth enough to justify all of these years of storage. But, like many here, I am a shameless hoarder of sorts.
Silver bicentennials, circ and proof strikes are worth keeping. There are probably some errors and varieties to watch for.
I used to save those quarters, too, but came to the realization that the coffee cans full of them that I had were becoming a nuisance. About six years ago I rolled up a few hundred dollars worth and deposited the proceeds in our checking account. The wife and I treated ourselves to a fine meal in one of the city's best restaurants with most of that money.
Although very common, specimens that are well struck and mark free could bring a small premium. Remember that bicentennial coins with a 1976 date were minted in 1975 and 1976 so there's a lot of them around.
I have come to terms with this over the years. Not just coins, but everything I put away to save. Since I what I store away is boxed, wrapped, secured, and labeled... That makes me an Archiver!
For some reason when I hold up a Bi-Centennial Half at our live Auctions there are a lot of bidders and they sell for as high as $ 3- $ 5 each. I take them quite often in flips. Maybe these folks know more than we do HUH. The Auctions have a variety of items and a not only coins.
I have some Bicenn. Ikes but the bus. strike clads were so poorly made I don't like them at all. Bicenn. halves are much nicer, but the quarter deserves talking about. As remarked, these are still turning up everywhere and are well circulated, face value. I have returned 25 or so back to the wild for excessive wear, and this is just this past year. If there is any hint of wear on the reverse at the most susceptible highpoint, the front edge rim of the drum, AU58. I draw the line there for keeping purposes, you rarely find these in good shape from circulation anymore. Spark
When I do stumble across one, there are usually more in the drawer. I figure a hoarded roll that was given up on.