A boom invests in extra Town Centers and villagers early to out-produce the opponent later. IdleTC has 2 boom build orders for Age of Empires II: Definitive Edition, each a step-by-step table.
Cumans can build a second Town Center in the Feudal Age, which no other civilisation can do. Done properly it buys you an early mini boom that is very hard to answer, provided the opponent cannot get at your economy before it pays off. Capoch streams on Twitch and Kick (kick.com/capoch).
A basic Full Water opening for maps with deep fish. Build docks and fishing ships to power your economy off the water, then transition into Feudal with gold and wood for a fleet. A solid, defensive economic opening — only run it on maps with enough deep fish to sustain the fishing ships. A generic reference build, not a pro-specific one.