Now 25 years since their last album The Final was released, the band are re-issuing the LP to celebrate an impressive career that included 25 million record sales worldwide and 11 top ten singles - six of which topped the charts.
Digital Spy caught up with bandmates Pepsi and Shirlie to look back on their time in the spotlight.
Congrats on 25 years since The Final; does it feel like it was 25 years ago?
Shirlie: "Yes! But 25 good years. We keep discovering new Wham fans wherever we go. People used to never want to admit they were a fan but now they feel they can."
Pepsi: "Will there ever be another Wham? I'm not sure there can be. I mean, what did it all mean? [laughs]"
You're starting to sound like The X Factor now...
Shirlie: "You know what - we should be judges. Absolutely. We have obviously got a lot to give to that show."
You could be the new Sinittas of the show.
Shirlie: "No, I'm going to be myself - Pepsi can be Dannii!"
Are you excited to be fronting the re-release of The Final?
Pepsi: "Very excited, thanks! Sony are great people to work for, and George is happy that we're involved with this release."
Shirlie: "We were a little bit concerned at first that he wouldn't want us involved. He's on tour at the moment doing his thing, so it's great that we can step in."
The parts in the band you played are a rarity in the industry today...
Shirlie: "We came into this industry at a period of transition. It was the '80s and people were having a good time. There were a lot of serious indie bands too, but then along came this band who weren't afraid to wear little shorts!"
Pepsi: "People thought that because we were all having fun that we weren't taking it seriously, but I knew underlying it all that George had real talent. We knew he wasn't a one-hit wonder, whereas a lot of people at the time thought he was."
What's your favourite Wham song?
Pepsi: "Mine are 'Young Guns' and 'Everything She Wants'. You know what, there are a lot of hits on this anniversary album - it would make a lovely present at Christmas perhaps [laughs]?"
Shirlie: "One I don't think gets enough recognition is 'The Edge of Heaven'."
Was there any unreleased material left over from those days?
Pepsi: "There is one that I don't think will ever come out. It was done by the band - it was a pub version of 'Careless Whisper'. It's out there somewhere."
What was the highlight during those years?
Pepsi: "Honestly, it was 'The Final' gig. We were in Wembley Stadium, and it was completely packed and the audience couldn't stop cheering for the whole thing.
Shirlie: "It was extraordinary because it was the end of Wham, but it was so joyous. There was no time to feel sad about it. For us, it was the beginning of Pepsi and Shirley too."
There were a lot of reports that strains between George and Andrew split the band; were you ever caught up in it?
Pepsi: "No way - there was never any real strain between them. They would argue, but it was the kind of argument you'd have with a close friend, where you can say anything and know it's going to be okay. There were each other's equals."
Shirlie: "Andrew knew that George had a solo career. He wasn't delusional. We all knew it - it was a known fact very early on."
It's quite easy to say that in hindsight though, isn't it?
Pepsi: "Honestly - there was something about him and we all knew it at the time. When he would perform 'Careless Whisper' solo there would always be a hush from the audience. There was no way he wasn't going to carry on by himself."
Shirlie: "There was also a sense at the end that he'd outgrown us all. It was good - he's our mate and we were so proud of him. He was also incredibly serious, which a lot of people didn't realise - he had a foresight into exactly where he was headed."
George once said Wham were mistreated financially - was it a lucrative project for you both?
Pepsi: "No. We should have earned millions [laughs]! People were a lot more vulnerable at that time so everyone was getting ripped off. It was easy not to be financially rewarded."
You provided backing vocals on Geri Halliwell's 'Bag It Up'; what was she like?
Pepsi: "That was a lot of fun! She's a good friend of George's and that's how we met. She was full of enthusiasm because she'd just left the Spice Girls."
Shirlie: "I always say this, but the next thing I'd love to do is a smokey, sultry, sexy Burt Bacharach-type album in the style of Dionne Warwick."
Can the setup you had as Wham ever be replicated?
Pepsi: "I think it will happen again because it was mates getting together and making something great. People will eventually get fed up of The X Factor and manufactured acts - not that there's anything wrong with that because it's an important section of the industry. Who knows, it could be my kids that do it!"
Wham! release The Final on November 28.
Watch the band perform 'Wake Me Up Before You Go-Go' below: