It's my home city, and has a special place in my heart. Are parts of Manchester shitholes? Undoubtedly. People will sneer and mock, but Moss Side and Longsight were totally different areas to what they've become now, when I was growing up back in the 70s. It sounds corny as fuck, but there was a sense of neighbourliness back then. I suppose the riots in '81 (was it?) changed everything. As for places of beauty; I suppose the obvious ones, namely Heaton Pk and Lyme Park (though that's probably Cheshire, as is Alderley Edge).
Longsight-born myself, very rarely there these days but do spend a little bit of time in Moss Side and it's OK. There are far gloomier places you can live in GM imo and plenty of decent folk just getting on with it.
TBH I'm of a mind that Manc doesn't have to have outstanding beauty in it, because we're so close to the Peak District, starting at Lyme - love the woodland walks there off the beaten track - and the rest of the Pennines.
I wouldn't call it beautiful, and its an acquired taste, but I do have a soft spot for the scruffy, yet to be developed bits in around the city centre, where you have remnants of industry, bits of scrubland, little bits of faded grandeur, tiny estates and little marooned terraced streets. Like the Medlock Valley side of Ancoats, or heading up Rochdale Road, round Smedley Dip, Holt Town, Ardwick Green, Clayton Vale and behind Piccadilly Station. Where you can find little streets to explore.
Near me the breathing spaces are Longford Park, Stretford Ees, Chorlton Water Park, all great for a wander and lovely on a dry autumn day.
But the street that probably means most to me is Wilmslow Road/Oxford Road, as I grew up off it, love the buildings, and everything that meant something to me for the first 11 years of my life could be reached by it.
I went to London for university in '99 and couldn't wait to come back. Used to listen to New Order, Substance on the 42, see the railway bridge at Oxford Road and the clock tower of the Refuge building and feel so glad I was home!