They're still in production as of 2017, but only to satisfy the collector market. The last year they were minted for general circulation was 2001.
The last silver half dollar was minted in 1969.
Not counting commemoratives and other coins minted for sale to collectors, the last half dollar minted in solid 90% silver was the 1964 Kennedy Half. 1965 through 1970 Kennedy halves have a copper core and 80% silver outer layers for a net silver weight of 40%.
Eisenhower Dollars were first minted in 1971.Perhaps you are thinking of a 1969 half dollar. 1969 was the last year that the Kennedy Half Dollars had silver. 1965-1969 Kennedy Half Dollars contain 40% silver.
The last half dollars that carried a picture of Miss Liberty were minted in 1947. All halves minted since 1964 have a picture of John F. Kennedy and are called Kennedy halves. There's more information at the Related Question.
Kennedy halves are still being minted. They haven't been put into circulation recently because of low demand but they're made available to collectors.
President Kennedy, on the half dollar. From 1965 to 1969 the half dollars were struck in 40% silver and are the last circulating US coins to have any silver in them.
No 1963 Kennedy half dollars exist. 1963 is the last year of the Franklin half dollar. 1964 is the first year for Kennedy.
All circulation half-dollar dated 1971 and later were struck in copper-nickel. The last half dollars containing silver were minted in 1970 and silver proof sets weren't minted again until 1992. Please see the Related Question for more.
The last Franklin Half Dollar was minted in 1963.
It is still in production.
The US Mint still produces silver coins for collectors. The last year silver coins were produced for circulation was 1964 except for the Kennedy half dollar. These half dollars, minted from 1965 through 1970 contained 40% silver instead of the 90% contained in silver dimes, quarters, half dollars and dollar coins minted prior to 1965.
The last circulating silver U.S. coin was the 1969 half dollar.