Robin9 wrote:

I don't know what's going to happen or who is responsible.
It's a handsome building - or at least is when it's in a good state
of repair and decoration - and it should be brought back into use.

I've always been a bit sorry it is no longer part of the public
transport system but as the North Woolwich line has been
converted into a tram service, no formal station buildings are
necessary.

It's more like a normal railway than a tram, but the DLR doesn't even pass
close to the old station building. At its closest, the line is almost a
quarter of a mile away.

I believe for a short time the station was used as a museum.

Yes, for 24 years:

From 1984 until 2008 the original station buildings and one disused
platform served as the North Woolwich Old Station Museum, dedicated to the
history of the Great Eastern Railway. The building was then owned by the
Passmore Edwards Museum Trust and run by the London Borough of Newham - on
its closure most of the collection was dispersed and the building passed to
the Trust's successor, the River Lea Tidal Mill Trust.

https://en.wikipedia.org/wiki/North_Woolwich_railway_station#North_London_line

There was also a proposal for it to become a heritage line and museum, but
Crossrail took over most of its potential route:
https://en.wikipedia.org/wiki/Royal_Docks_Heritage_Railway