I see the ropes courses as a type of amusement or theme park, and in fact many of them are part of a larger facility. Thus "tourism", not sport or leisure.
http://wiki.openstreetmap.org/wiki/Tag:tourism%3Dtheme_park with http://wiki.openstreetmap.org/wiki/Proposed_features/Key:attraction of "high_ropes_course", and http://wiki.openstreetmap.org/wiki/Key:website or website:mobile for prices, booking details and operating hours. A given park may have multiple attractions, such as a ropes course, a slide, and a viewing platform. This is a facility that generally must be booked in advance and traveled to: thus tourism. --- A smaller playground based zipline or flying fox would be tagged as a playground feature.
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