World Coins are a almost hidden cash cow. Canada penny one that has been going up price wise. Great Britain 2 - 6 pence are also sterling silver and going up in price Plus with Great Britain you have a few country to choose from. From Scotland to Hong Kong.
I will recommend you look at the US Two Cent piece. A short lived series with a plentiful supply in most grades. Having started during the Civil War they can appeal to history lovers. And the first US coin to display the motto In God We Trust, and to show the Union Shield instead of Lady Liberty on the obverse. If varieties are of interest the series offers hundreds of examples all reasonably priced. With only two pieces in a set being in relatively short supply a total set can be completed quite reasonably. Clearly, I am biased toward this series of coins as I have been collecting and studying them for years. What ever you decide remember it's about having fun.
One,Two and three cents are very good for a starting point . From there it's adventurous and a good mix of learning.
What do you like? If we steer you to an "underappreciated" series that you have no interest in, why would you want to collect it? Some series are chronically underappreciated, so there's not really much expectation of financial upside for those, if that's what you're looking for. State quarter albums for the kids is a good idea, as would be the National Parks (America the Beautiful) quarters. For collecting moderns (including Franklin halves), I would opt for using a Dansco album for non-proof coins. You can get unlabeled (no dates by holes) albums as well as the traditional set albums. Most moderns aren't worth certification, and the beginning collector will get just as much enjoyment out of a $20 Franklin half in MS63 that they can put in an album as they would from a certified MS66 sample costing $400. $20 mistakes are also a lot easier to deal with while learning than $400 mistakes. As you fill a Dansco, you'll also find something quite satisfying about the heft of an album full of coins.
Under appreciated is the crux of this question. While no series is truly under appreciated or neglected there are a few that I have had fun with on a limited budget that don't get all the hype that more popular sets get. Barber dimes and halves both come to mind as there are no real show stoppers in either set, but also shield nickels, three cent silvers and three cent nickels are fun sets to consider.
@messydesk Good points. It's not really about the financial upside. That's nice, don't get me wrong, but it's about the collecting. And learning more about the community I've entered. Reading all the different opinions helps me to contemplate other viewpoints.
That's the problem. My eyes are bigger than my stomach as my mom used to say. I haven't really found anything I don't like in some way. Being new everything seems fascinating and there are soooo many areas to look into. I have a few books now so I am trying to educate myself. Trying to find some local shows to get my hands on a few different coins as well.
Anything I own. Kidding aside, most modern clad issues. Maybe the Sacagawea Golden Dollars, or small dollars in general, which I don't collect. Going older, maybe 2 cent pieces, 3 cent pieces or half dimes. But like has been said, collect what catches your eye and a lot of coin series can do that ... so a 20th/21st century type set with only single examples of only major issues?
I personally like the Franklin halves. It's a shorter series, only 35 different dates and mint marks if you want to build the whole set. They're pretty inexpensive too. All dates can be purchased for silver spot prices in circulated condition and almost all dates can be purchased BU for $20 or less. There are a few "key dates" that will cost a bit more, the 49D or 49S for example. I put key dates in quotes because there really aren't any key dates in the series, mintage-wise. Some dates just seem to cost more for some reason. Mercury dimes are another good set if you're on a budget. Many of the coins are very affordable in BU and many more are affordable in circulated grades as well. There are a few keys, actual key dates, that are expensive in any grade. For some really modern stuff I like the America the Beautiful quarters a lot. The designs are all pretty nice. I think putting together a full set of silver proofs would be pretty cool.
This is why, as others have suggested, a 19th & 20th century US type set would be a great way for you to start, because it'll give you a little taste of everything before committing yourself to a particular series.
I agree. You will occasionally hear of people talking about their "7070". This refers to the album number of Dansco's 19th-20th century type set album. Buy one of these and start filling it. Cherrypick raw coins for grade and price and pay attention to which series you really enjoy. Involve the kids, too.
I like that. It's a good suggestion and adds diversity to the coins. So I will look into getting a 7070 and check out the local coin shops to see about starting to fill it. See where it takes me...