As the others mentioned these letter-number combinations are the result of die variety books written by various authors. The standard numbers seen for each series (and most of the book titles) are as follows
Half Cents C numbers for Roger Cohen
The Little Half Sisters Rarely you will see G or Gilbert numbers. The standard reference now is
The Encyclopedia of United states Half Cents 1793 - 1857 by Walter Breen. It has B numbers but everyone still uses the C numbers
Large Cents
Early Dates 1793 -1814 are S or Sheldon numbers For very rare varieties Sheldon also used NC number which meant this variety was considered to be Not Collectible. Books for this series are
Penny-Whimsy by William Sheldon A very readible book and I recommend it but DO NOT get the 1990 edition. The plates are HORRIBLE and almost completely unusable. I prefer the 1965 edition but most people like the 1976 edition. [United States Large Cents 1793 - 1814 by William Noyes. Much of the same text as Penny-Whimsy but much better, larger, images. This book uses Sheldon numbers
The Encyclopedia of United States Large Cents 1793 - 1814 by Walter Breen. This book uses Breen numbers but also includes the S numbers. It does a better job of establishing the emission sequence and contains a ton of historical Mint/Cent history. Pictures are better than Sheldon, but not as good as Noyes. I like this book a great deal. You may run across references to Hays, Maris, Doughtry, and Frossard numbers but no one uses those numbers anymore.
Middle dates 1816 - 1839
These are cataloged by N or Newcomb numbers from
United Stated Large Cents 1816 to 1857 by Howard are Newcomb. (If you see an A number that is an Andrews Number. Much of Newcombs book is copied from the Andrews book of the same title for 1883. The numbers in both are the same so A# = N#.) I do NOT recommend the Newcomb book. The best current books are
United States Large Cents 1816 - 1857 by William Noyes, or
The Cent Book by John Wright. Both of these book continue to use the Newcomb numbers. the Noyes book is the companion volume for his early date book and is excellent. The Wright book is also excellent and has an easier reading style. Pictures in both are really good but Noyes is slightly better. My personal preference is for the Wright book.
Late dates 1840 - 1857
These are done by Newcomb numbers from the book mentioned earlier but in my opinion it is almost unusable for these. The only real choice is
United States Large Cents 1840 - 1857 by Robert Grellman and Jules Reiver. It also uses the Newcomb numbers. No photos in this one because the differences between th dies are too subtle to show I the pictures and diagrams are used instead. It isn't a easy book to use and it takes some practice but it is the best thing going for the late dates.
Two Cent PiecesThese are not normally collected by variety there are only a couple books on the series, most recently by Kevin Flynn.
Three Cent pieces
Neither the silver of the copper nickel is really collected by variety. Tere have been books written on each by Kevin Flynn.
Half DimesYou will see these listed by either Valentine (V numbers) or JR numbers. Valentine's book was the standard reference from 1931 until
Federal Half Dimes 1794 - 1837 by Logan and McCloskey came out. The JR number are for
John Reich the designer of the capped bust
Half Dime and the namesake of the
John Reich Society that underwrote the publication. The Logan/McCloskey book is much easier to use than the Valentine book and it has much better images. Unfortunately the Logan/McCloskey book does not cover the
Seated half dimes so here you are stil stuck with Valentive or Al Blthe's book
Complete Guide to Liberty Seated half dimes 1837 - 1873 Better than Valentine but not as complete, does have better images.
Dimes
United States dimes 1796 - 1837 There may have been other earlier books on the dimes but they have been so superseded by this book that I can't even think of them. On the down side the book is LONG out of print and can easily cost $200 to $300 if you can find a copy. For the later 1837 to 1891 period the standard references are Brian Greer's
Complete Guide to Seated Liberty dimes 1837 - 1891 A good book but there is a better On-line reference by Jerry Fortin. It is a subscription service, reasonably priced and much more complete.
Quarters
Early United states Quarters 1796 - 1838[/i]by A Browning. These are cataloged by B numbers. There has recently been another book on the early quarters and another book will be published shortly. Both of these continue to use the B numbers. For the later 1838 - 1891 the only work available is The Complete Guide to Liberty Seated quarter Dollars by Larry Briggs. These are also cataloged using B numbers but now they are Briggs numbers, not Browning numbers.
Halves
Standard Work is Early Half Dollar Die Varieties 1794 - 1836 by Al Overton These are the O numbers and they are all in the form O-XXX. There was an earlier book by Biestle that used B numbers but it has been completely surpassed. For the post 1836 period there is the Willey/Bugart books but not many people collect the Seated coins by die variety. They originally published one book that covered the whole series but which left out a lot of die varieties. Currently they have been issuing separate books for each mint that contain many more varieties. This are WB numbers
Silver Dollars
The early dollars, 1794 - 1804 can be found with either BB or B numbers. The B or Bolander numbers came first. In the late 80's a two volume encyclopedia of the Silver dollar was published by Q D Bowers and Mark Borchardt (BB) The book was good but the use of BB numbers did not really take over. In the late 90's or early 2000 new book on the early dollars was published by Jules Rievers that was basically a reprinting of the Bolander work. It has better plates and is a lot easier to find than the Bolander book. It continues to use the B numbers. The Seated dollars and Trade dollars are rarely collected by die varieties.
I won't go into the gold because I am really not very knowledgeable in that area.
Sorry about the italics, the tags stopped working properly