Son is by far the most common (21 from 50), followed by brother (6 from 50).
The next two are especially interesting - 5 new monarchs were usurpers (i.e. not closely related to the previous monach) and 3 times the new monarch was also an old monarch (i.e. a previous King was returned to the throne!).
There were 4 or 5 female successions (twice a daughter, twice a sister and once a daughter-but-disputed-succession [i.e. Matilda]).
Only once does it looks like the succession totally jumped a generation, and a grandson succeeded. In every other situation it looks like people were in the same generation (i.e. brother, sisters, cousins) or one lower (sons, daughters, nephews).
And only once did the succession 'jump back' a generation, with Richard III succeeding his nephew.