Anderson, who lifted the trophy in 2015 and 2016, surrendered an early result in endure an emphatic 4-1 loss to his former protege Chris Dobey.
Van Gerwen stored himself on the right track for a fourth name by way of triumphing 4-2 in a vintage stumble upon with Mensur Suljovic, whilst Smith overcame a big attainable dissatisfied by way of combating again from 3-1 right down to defeat Martin Schindler 4-3.
Alan Soutar, Jose De Sousa and Joe Cullen additionally advanced to the ultimate 16 on an afternoon of drama at Alexandra Palace.
Global quantity 22 Dobey claimed anxious feedback from Scotsman Anderson helped gas his surprise comeback win.
“Gary mentioned one thing to us within the ultimate wreck and I didn’t love it, so there used to be no approach he used to be successful that sport after that,” Dobey, who will face both Rob Move or Mervyn King within the subsequent spherical, advised Sky Sports activities.
“It roughly pissed off us. However I got here out, the person I’m, I attempted to fail to remember about it. He’s a category lad however I didn’t trust what he mentioned.
“I’m no longer going to mention (what he mentioned), it used to be simply one thing I didn’t like. He’s probably the most giant names in darts and he has been for some time, so it’s a large win.”
Van Gerwen, champion in 2014, 2017 and 2019, used to be driven all of the approach by way of Austrian Suljovic, who produced a surprising 161 checkout to take the competition to a 6th set.
The Dutch 3rd seed averaged 107.66, together with 121.22 in leg two, and threw 12 maximums.
“I needed to play in reality neatly, I didn’t see Mensur taking part in this neatly for a very long time,” mentioned Van Gerwen.
“To win it the best way I did, it used to be worrying within the sport, there have been some excellent darts, superb.
“It makes you battle more difficult, it makes you extra hungry and this will provide you with power. I think excellent, I think relaxed, so I’m hoping I will be able to perform a little extra harm on this Global Championship.”
Grand Slam champion Smith, who used to be overwhelmed by way of Peter Wright in ultimate yr’s ultimate, appeared set for an early go out in Wednesday night’s gripping finale.
German Schindler had by no means gained a fit on the event sooner than this yr however used to be a leg clear of a surprising good fortune sooner than Smith scraped via.
“I simply didn’t need to pass house,” mentioned Smith. “I simply stored telling myself, ‘you’re probably the most favourites, you’ve were given to play love it’.
“If you wish to be a global champion, play like one.”
Unseeded Soutar vowed to stay scary the sector’s easiest after successful 12 of the general 13 legs to stun UK Open Champion Danny Noppert.
The Dundee firefighter feared he would “get battered” having fallen two units right down to Dutchman Noppert however battled again to assert a 4-2 victory, which incorporated a excellent 130 end.
“He disappeared in the course of the fit and I took each likelihood I were given,” Soutar, who will tackle Germany’s Gabriel Clemens within the ultimate 16, advised PDC Darts.
“He’s global quantity 9, provisionally quantity 8, and most likely a Premier League participant, so for me to overcome guys like that I find it irresistible, I completely love going toe-to-toe and taking other people on.
“I’m unseeded and I will be able to stay knocking out seeds, let’s take a look at.”
Cullen awaits fourth seed Smith after his 4-0 victory over Australia’s Damon Heta, whilst Portuguese participant De Sousa sparked an afternoon of comebacks in north London by way of overturning a 3-0 deficit to defeat Ryan Searle 4-3.