While Lima may not be known as the adventure capital of Peru, it's definitely not without its access to nearby (and relatively nearby) outdoor activities capable of adding more than a little grit to your South American itinerary. Start by taking advantage of its coastal location and you're off to a good start. You won't find a ton of appealing dive locations or pristine beaches, but the chilly waves of the South Pacific offer surfers plenty of prime opportunities to get out on the water. Not world class by any stretch, but certainly worth checking out.
More of a hiking/camping kinda traveler, huh? Not to worry. Head east along Route 22 and you'll encounter several options, from the day-trip worthy Pala Kala waterfall trail to the incredible landscapes of the Nor Yauyos-Cochas landscape reserve. This latter adventure will probably require at least 2 days of your time, but for its mountain lake and waterfall strewn scenery it's more than a worthy sacrifice. Travel a little further north and things get much more interesting. Between the Himalaya-esque Cordillera Huayhuash and Cordillera Blanca mountain ranges, you'll find that a week's worth of Andean hiking and climbing isn't relegated to just Cusco and its surrounding countryside. These are the kinds of esoteric experiences you may not have known existed before hand, but that you'll be glad you decided to investigate.
There are also plenty of archeological adventures to be had around Lima, from the Pachacamac ruins in the southeast to the ancient city of Caral to the north. They're a great way to add some history and culture to your explorations around the city. And that's not even mentioning the ancient Huaca pyramids located throughout the city center. So whether you’re up for multiple days of mountaineering or just killing a day around the town, there’s enough in and around Lima to keep the adventurous on their toes.