The Lowry has always been a fantastic space, and it's great to see that in the last few years, it's been getting a lot more usage!
The galleries often have one-off displays from major London galleries (usually for free/a donation) in addition to the stunning collection of L.S. Lowry pictures.
The theatres are both fantastic spaces, offering some of the best stages and seats in the UK in my opinion (and I review theatre a lot!).
The centre itself is of a great design, and the Lowry Outlet Mall is great to poke around in, so long as you're not too hung up on brand names. It can be a bit hit and miss, but in the Cadbury's Shop, you're always on to a winner! ;-)
Jump off at Salford Quays metrolink for a gorgeous walk up the Quay, or else MediaCity UK / Harbour City / Broadway if you want to get there promptly. From Manchester, you can get any tram going to either Media City UK, or to Eccles.
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