Obergurgl-Hochgurgl, in Tirol (Ötztal) (Austria), is more than just slopes: most alpine resorts in this area combine skiing with mountain activities that don't need a board or skis at all.
Snowshoeing, ice skating, sledding and snowmobile rides are common in most alpine resorts in the area — check the resort's official site or tourist office for what's running this season.
Spa and wellness, mountain cuisine and village life are the usual complement to a day on the slopes. If you're travelling with someone who doesn't ski, ask your accommodation about half-day plans that don't depend on a lift pass.
Ski rental in Obergurgl-Hochgurgl from €22 per day, booked in advance and picked up in the shop.