[PJ] As you said, not the British Library
Not connected to Broadcasting
built/demolished/functions transferred elsewhere? - 2 YESes and a NO

[Raak] Always European? - YES
[GL] Deutsch? - Neither is, nor was
[PJ] Demolished? - YES - but that doesn't mean it wasn't rebuilt
[FGZstar] - Stationary? - NO
[cfm] Health related? - NO *some chuckles*
[PJ] To clarify, since you've asked enough questions to get the picture. It was built, demolished and then (sort of) rebuilt on the same site - so the functions weren't transferred elsewhere.

(I'm thinking building replaced by museum, or something of that sort.)

[CdM] Antecedents? - There was previous building on the site, some of which performed a similar function
[PJ] Rebuilt post-1985? - YES
[CdM] The king is dead? - YES
[Raak] British? - YES *applause*

(paying careful attention to the article that did not bark in INJ's previous answer)

[PJ] Rebuilt since '05? - NO - I'll tell you, since I don't think it will help, rebuilding was completed in 2003. You probably don't know it was rebuilt at all.
[CdM] Collection of buildings? - Before the first incarnation: YES. The actual answer is more a question of definition, but was certainly designed and built as a whole.
A clue: the animal connection will confirm to you that you have the right answer when you think of it. It's not just that this is a building with people in it.

[PJ] Lahndahn? - NO
[Raak] Zoo? - NO

I just googled "rebuilding was completed in 2003".

[Raak] 'Brutalist' stately home? - NO
Ashton-u-Lyne? - NO

(In the EU regions North East, North West or Yorkshire & The Humber if you need a precise definition)

I know you have already indicated that it is open to the public and that there is no entrance fee, but I am trying to establish if there are any impediments to general entry.

[PJ] In t'grim regions? - NO
[CdM] Anyone anytime? *some laughter* - Since I'll be incommunicado this weekend (no phone, no TV, no shops, in fact no road) I'll give a fuller answer. The building was not open 24/7, but when it was there were no impediments to entry - somewhat the reverse if anything.

If you establish either exactly where this was/is or what its purpose was/is then I think getting the answer from there will be pretty trivial.

And we have a winner.
It is indeed The Bull Ring Centre (not to be confused with its 2003 successor the Bullring Centre which is a collection of buildings at ground level).
Let me sell you a baton.

---

All right. this is best described as ABSTRACT with major ANIMAL connections, although I suppose you might be able to make a case that it is simply ANIMAL.

OK, that's my random guesses done. Have a good weekend/long weekend everyone.

Well, INJ got it in one, but since he's going away I'll pretend he didn't
Human? The animal connection I have in mind is human. It is possible -- I'd guess even probable -- that there are other animal connections, but I don't think we can know that for sure.
Begins with M? No. What a stupid question.

Dolly the sheep? No.
Biological function? Not exactly but sort of. *applause*
Hangman? There are two acceptable answers on the card. One contains an L.