It's a big achievement for the band who, despite huge success in the Seventies and Eighties, never quite made the Top 10, narrowly missing the chance in 1985 when their Phantasmagoria album frustratingly peaked at No.11.
Never ones to play it safe, the band always retained the energy of punk but were never content to stay within those narrow confines and Evil Spirits continues in that progressive journey.
The new album is awash with the hallmark sound of a man whose production has graced innumerable classic albums by David Bowie, T-Rex and many more.
Says singer Dave Vanian: "It was hearing Bowie's 'Blackstar' that made me think about working with Tony, because it reminded of what we do sound-wise.
"We wanted a modern album like that, but not to lose sight of what made his records so brilliant in the past."
Adds Sensible with characteristic gusto: "His '70s records compare so favourably up against all the maxxed-out ultra-compressed autotuned guff that passes for records these days.
"We thought, 'There's a bloke who specialises in beautifully crafted old-school production – but how could we ever afford him?"
"Then someone mentioned this new-fangled route of a PledgeMusic campaign…""
To stump up cash for this new phase, The Damned set up their first ever crowd-funding venture.
All their graft on the road soon paid dividends, as their freshly galvanised global fanbase quickly coughed up a sum unimaginable to these lifelong DIY-ers.
It turned out Visconti, now 73, had first heard of them from Bolan circa '77, and was shocked they'd never approached him before.
He duly signed up without hearing a note of prospective music, as the band hadn't actually finished writing any songs yet…
With four songwriters on the team – on top of founder members Sensible and Vanian, their keyboard wiz Monty Oxy Moron and drummer Pinch both contribute compositionally – each set to work in isolation.
As their sticksman resides in San Diego, there were no full-band run-throughs of the twenty tracks they penned until they convened with Visconti in October for Day One of an intensive nine-day session at Brooklyn's Atomic Sound.
Says Sensible: "The studio has a heap of wonderful-sounding antique valve gear and mics, and a lovely old Neve desk.
"Tony had us all playing live, bashing it out in the same room – the same way our début album was made."
Just before the sessions commenced, post-millennial bassist Stu West quit, making possible a short-term recall for Paul Gray, a Damned alumnus from the early-'80s purple patch that spawned the Black Album and Strawberries.
"Paul's a spectacular bassist," confirms the Captain. "He once told us that if he got paid by the notes he crams into a gig, he'd be a multi-millionaire."
Lifelong fans and newcomers will be sucked in by the sheer breadth and quality of Evil Spirits: there's hurtling Scott Walker-esque chamber pop, Standing On The Edge Of Tomorrow, Farfisa-stabbing garage-psych, Devil In Disguise, even the sweeping Broadway-isms of Look Left.
There's diversity, too, in the character of The Damned's main players: Vanian, often cited as the very originator of goth, brings his brooding nocturnalist perspective to Shadow Evocation, while the madcap polemicist Sensible serves up unforgettable agit-pop aplenty.
Crammed within I Don't Care's three minutes are a trio of distinct movements – one with Vanian musing amid piano and violins, and a second where his care-free feelings boil over into eruptive Who-esque rock, before it all finally come to earth with a jazzy late-night outro. It's punk, Jim, but not as we've ever known it before.
Also a Damned constant are the premier league tunes: songs are filled with melodies, with scarcely a second of airtime wasted.
The Captain's swingeing critique of imperialism, We're So Nice, bounces along gloriously on a Tamla beat.
"At the end of the day," he observes, "it's all about the tune, and making something fabulous that grabs the listener. The message is a bonus.
"The songs are mostly a reaction to the lunacy of today's nonsensical politics. I started buying records in 1967, the Summer of Love.
"There were so many positive changes happening through the '60s and '70s – civil rights, feminism, the anti-nuclear demos.
"Whatever happened to all that? Where are today's anti-war marches? Whatever happened to the beautiful hippy dream of worldwide peace and love?"
Still a seat-of-the-pants DIY operation after all these years – it's too late to stop now! – The Damned cut Evil Spirits in nine days flat with Visconti – "A month's worth of work in that short time," shudders Sensible.
Thereafter, Visconti really came into his own at the mixing stage. Says Vanian: "We're in an age where technology's taken over, and there's generally a blandness to the mixes of things.
"You go back to Tony's mixes, and they're way more complex. There's a depth and subtlety to the mixes he did for us that we're really happy with."
Armed with this late-career classic, The Damned can now look to the future, and rightfully claim the respect they've always deserved.
"In the early days," reflects an unapologetic Vanian, "so much of the focus was on our craziness as people, and not enough was said about the fabulous music we were creating.
"We were termed 'punk', but that became a niche, where it only did certain things.
"We always believed in it being more open-minded and variable, and that's what we've tried to maintain over the years.
"Our band has always predominantly gone forwards, and we think this album shows we're a relevant band now, and what we're capable of."
From The Damned, makers of some of the most exciting and influential music of the last fifty years, these are no idle claims. Here's dreaming of a better world.
The Damned are: David Vanian – Vocals / Captain Sensible – Guitar / Monty Oxy Moron – Keyboard / Pinch – Drums / Paul Gray – Bass. 'Evil Spirits' can be purchased HERE. They play Brighton Dome Concert Hall on Monday 19th November 2018.