Engelberg is ideal destination to experience all that the Swiss alps have to offers. There are three main mountain areas that surround this village. I suggest choosing one of these areas for this day.
A. Titlis & Trübsee - If you want a Glacier experience, this combo is the right choice for you. You get both the high mountain views and the charm of alpine meadows down at the lake.
B. Brunni Engelberg - If you are traveling with children and need lots of fun activities, this is the best place for you. It has playgrounds, alpine slide, theme trails - all the fun stuff.
C. Fürenalp - If you want a quieter location, locals only, this mountain is the better choice. You can hike or just enjoy the view from the restaurant