Here are some other important history plays by writers other than Shakespeare.
Edward I by George Peele
Edward II by Christopher Marlowe
The Life and Death of Jack Straw
Thomas of Woodstock, or, Richard II, Part 1
The Famous Victories of King Henry the Fifth
Sir John Oldcastle
Edward IV, Parts 1 and 2 by Thomas Heywood
Perkin Warbeck by John Ford
Sir Thomas More by Anthony Munday & others
Thomas Lord Cromwell
When You See Me, You Know Me by Samuel Rowley
If You Know Not Me, You Know Nobody, Parts 1 and 2 by Thomas Heywood