Also unmentioned is the disastrous intervention in the Moroccan civil war of 1580, where the teen king and most of its nobles were killed, leading to 60 years of Spanish rule. This is not at the apex of the empire, but close.
Also, Henry the Navigator downright stole or cajoled most of the "inovations" from Italian city states. For example, the Madeira island was named so by Italians, settled by some of Henry's minions.