This is the standard United Kingdom proof coin set of the year, including the regular circulating coins plus (most of) the commemorative coins issued throughout the year.
The 2015 set includes two commemorative £5 (crown) coins - the Churchill crown and the commemorative for the Battle of Waterloo. There are also two commemorative £2 coins, the Royal Navy and the Magna Carta.
The Battle of Britain 50 pence which is included with the set is arguably an error coin; it shows no value and denomination on either side. The Royal Mint did not admit that this is in error, however changed the designs for the coins issued into circulation later, and added "50 PENCE" to their obverse inscription.
The rest of the coins in the set are all the regular circulating coins, from the definitive £2 Technology down to 1p.
All coins in this set have the Fourth Portrait of Queen Elizabeth II by Ian Rank-Broadley. Other sets were issued later in the year carrying the new, Fifth Portrait, by Jody Clark.
There is also a brass nickel oblong Royal Mint token. | 
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