[Rosie] External domestic fun? - YES (but not exclusively)
[INJ] Competitive? - NO (well, not normally and not normally inside)

The answer is not an activity but contains items that are used therewith.

Slightly diverted from the true path by your answer to my question:
Q. Found in the house?
A. Domestic? - YES
Can you please clarify.

[INJ] Chuck? - NO
In answer to your other query, the subject will be found in the house but not necessarily used there.

I think Rosie and I need some lurker help here.
We're looking for a man-made toy made of wood and metal, with some (as yet unexplored) abstract connection. It consists of a number of parts and is normally used outside although it may be found inside (when it's put away?). It is both larger and smaller than a toaster - don't know if that's the part vs whole thing or just that it comes in different sizes. It is not normally a competitive game and does not involve throwing. It is not known by a brand name. It is not a board game or meccano or lego or a puzzle or a container or a fixture or fitting or a domestic appliance or a tool (slightly hesitant NO to that one), nor does it have musical connections.
There you are - should be easy now.
Any thing significant I missed?

Ah, yes, one omission. It is not primarily aimed at young children (the under 5-s say). The response was: 'NO (well not entirely as a kind of hint)'.

[Duj] Beauty parade? - YES well, sometimes
[INJ] Solo? - the correct answer could be YES and/or NO