I haven't heard anything too horrifying come from Portugal. Their regime seems to have been relatively benign, at least in Africa. Though I say that only from the standpoint of knowing next to nothing about the Portuguese empire.
We really do teach far too little about the colonial era in school.
In America and Africa, it was characterized by the usual exploitation of the natives when we could, and alliances with the natives when we couldn't. A pinch of massacres here and there. Nothing as overblown as the Spanish though. The usual stories of colonists knowingly passing diseases to the native Indians is also known in Brazil. The Indians themselves were exceedingly protected by the Church though (There was a subtle conflict between the clergy, who saw the Indians as prospective converts and sought to protect them, and the common landlords, who exerted their utmost influence into getting as many Indians into slavery as possible)
In India in the beginning, the Portuguese were originally known as seasonal pirates. They arrived in the Summer, raided and pirated as much as possible and departed in the Winter. Here's a nice event of those initial years, by one of our Portuguese national heroes and phreaps the most famous Portuguese historical person, on pair with Magellan, from wikipedia:
September 29, 1502 - After prowling around Mt. d'Eli for nearly a month with little success (they captured only one minor ship), captain Gil Matoso (on the São Gabriel), spots a large merchant ship carrying Muslim pilgrims returning from Mecca (or going to it, chronicles contradict). The ship, the Miri, is identified as belonging to a certain al-Fanqi, one of wealthier men of Calicut and said by some to be the Meccan factor in Calicut. Matoso chases the pilgrim ship down, which surrenders rather quickly, probably imagining that its master had enough money to ransom it off. But Vasco da Gama shrugs off all the offers. As the Portuguese crew plunder the ship and transfer its cargo, it quickly becomes evident that Gama intends to burn the ship with all its passengers - men, women and children - on board. When Gama proves deaf to their pleas for mercy, the passengers frantically attack the Portuguese men-at-arms with their bare hands. To no avail.
October 3, 1502 - a day, eyewitness Thomé Lopes states, "I will never forget for the rest of my days". The pilgrim ship thoroughly plundered, on Gama's orders, the passengers are locked in the hold and the ship burnt and sunk by artillery. It takes several days to finally go down completely. Portuguese soldiers row around the waters on longboats mercilessly spearing survivors.
The sinking of the Miri is an act that will instantly cement Gama's cruel and fearsome reputation, and generate a great deal of hatred for the Portuguese in India. Gama defended his act as "vengeance" for the Calicut massacre of 1500, arguing that the ship's owner, as a prominent person in Calicut, was 'doubtlessly' responsible for the sinister counsel to the Zamorin that led up to it.
So the Portuguese overseas personelle weren't exactly the ordinary gentlemen. What is most curious about this event is how a lot of the Portuguese captains were against the massacre of helpless folks, even if Muslims, which is surprising on its own since all Portuguese sailors by that time had a healthy aversion towards Mohammedians.
When the Portuguese started getting bases on their own across the Indian Ocean, the idea shifted from seasonal pirates to permanent pirates, albeit with enough force and resources to establish land bases.
Going further East, you can also have our first encounters with China.
A few years after the initial contacts and trade which happened between Portuguese traders and the Chinese (Most of which was originally illegal and carried out as smuggling operations), and when there was already an embassy on Guangzhou, one of the captains leading the expedition to China decided on his own initiative build a fort in present-day mainland Hong Kong, carry out justice on his own, assaulting Chinese people, and abuducting Chinese people to be sold off as slaves. That is besides their usual activity at piracy and raiding coastal settlements. After seeing that we couldn't push the Chinese around, we started playing nice.
And in the Indonesian islands, we were as meddling and exploitative as we could. So we weren't really an example of good behaviour or good management at colonial empires.