Kea Point Walk is a pleasant walk you can do at Mount Cook, from the village and back to the glacier, it is accessible to everyone, very well marked. It's about a two hour round trip, ending at the glacier, with special views, there is a viewpoint with a couple of benches where you sit and delight yourself with a marvelous view of the colossal wonder of nature.
A spectacular 2-day trek through the Mount Somers where you can see the remains of the coal mines that stopped working several years ago, with the rails, trolleys, etc.. The road is very varied, it runs alongside a river, then climbs to the crest of a hill, from where you can see the refuge of Woolshed Creek, and then up and down several hills and river gorges, to be crossed by a pretty impressive suspension bridge, from where you can take in some fantastic views! Great!