tail can read from a byte offset, so if your file uses only single-byte characters (typically UTF-8 ASCII), this will work.
It depends on your situaton, whether it is improtant to you or not, but
tail is faster than
sed... probably becaue sed needs to process each line inndividually, ... But don't use it where there is any chance of the first character using more than one byte.
tail -c +2 "file"
output the last N bytes; alternatively, use +N to output bytes
starting with the Nth of each file