Use a fun/surprising fact:

With recent studies showing that, on average, dog owners live up to 24% longer than those without canine companions, there's no doubt that a dog can have a range of physical and mental health benefits for its owner. These include a more active lifestyle, a social network of other pet owners, companionship, and a sense of purpose.

Pose a question:

Another way to engage your reader in your essay introduction is to ask a rhetorical question. This is a good way to start a persuasive essay or even a newspaper editorial. This example shows how you must carefully choose this question to support your thesis:

Global climate change is a crisis that affects everyone, rich and poor, young and old. From rising ocean levels to increased temperature extremes, the world is changing for everyone. How will your life be different in the coming years?

An anecdote:

A short anecdote is a good way to start a personal essay, especially if it fits with your overall theme. Consider this example:

When I got home from school that day, my grandmother greeted me with a plate of cookies and a worried expression. I hadn't received the scholarship I needed to go to ballet camp, and we'd need to find another way to earn the money. That's when I started my business giving dance lessons to preschoolers, and it's taught me a lot about how to solve problems on my own.