Anderson overtook Australia great McGrath when he took the final wicket of the fifth Test to secure a 118-run and 4-1 series victory for England.
The 36-year-old is up to fourth in the global list with 564 Test victims, with only spinners Muttiah Muralitharan (800), Shane Warne (708) and Anil Kumble (619) above him.
England team-mate Stuart Broad, 32, is Anderson’s nearest active challenger with 433, while injury-hit South Africa quick Dale Steyn, 35, has taken 421 Test wickets.
“If there is anyone out there, they have got a long way to go,” McGrath told BBC Radio 5 live. “I don’t think we’ll see it happen in the next decade.
“Just to play enough games to get anywhere near it is tough in itself. Other than Jimmy (143), no other fast bowler in the history of the game has played more than 132 Tests.
“Also, the nature of cricket these days is that there is so much more Twenty20.
“The game is quicker, it’s faster. And will bowlers play enough Test cricket in the future to get anywhere near the mark?”
Anderson shows no sign of letting up and has another milestone within his sights.
“If he can raise the bar to 600 wickets, that’s an incredible effort,” said McGrath, who took the record from Courtney Walsh in 2005.
“I was proud to hold it for as long as I did – for it to be beaten by somebody like Jimmy Anderson is great.
“I have a lot of respect for Jimmy. He’s been an incredible bowler for a long time.
“To think that Jimmy’s played for so long and continued at the top of his game shows his work ethic, his physical and mental strength and everything else that goes into it.
“When it comes to the art of swing bowling, there is no-one better.”
The series between the two heavyweights more than lived up to its billing in a roller-coaster ride that saw the pendulum swing from one team to the other with almost each passing session.
With a magnificent English summer now coming to a close, we look at the biggest surprises from the series – both good and bad.
SAM CURRAN’S EMERGENCE AS A GENUINE ALL-ROUNDER
When Sam Curran was named in the England squad for the series, not many were convinced by the youngster’s inclusion given his pedestrian display in his Test debut against Pakistan.
Four Tests later, those doubts have been completely erased with Curran emerging as a long-term all-rounder prospect for England. He changed the complexion of the first Test with a superb 63 with the bat in the first innings while also chipping in with a five-wicket match haul. That was not the only excellent rearguard action performed by the 20-year-old with similar performances following at Lord’s and Southampton.
His left-arm pace provides England with genuine variety in their bowling attack and his handy lower-order batting was a perennial thorn in the flesh for the visitors.
ISHANT SHARMA’S TRANSFORMATION INTO A STRIKE BOWLER
While India have plenty of reasons to be optimistic about their pace attack despite their defeat, no bowler’s performance was as heartening as that of Ishant Sharma. For so long the lanky pacer has held the tag of an ‘unlucky’ bowler who could bowl outstandingly all day without picking up a wicket.
That factor has seen the 30-year-old relegated to the role of the third seamer who can hold one end down with some tight bowling while the strike bowlers profit from the pressure created at the other end.
However, the England tour has seen the emergence of a new Ishant who is more than capable of leading the pace attack. The Delhi-born fast bowler ended as the second highest wicket-taker in the series behind James Anderson with 18 scalps to his name at an average of less than 25 and a strike-rate of just over 50.
JOS BUTTLER’S TEST RESURGENCE CONTINUES
If someone had said that Jos Buttler would end up as England’s highest run-scorer before the start of the series, in all probability they would have been laughed off.
The 28-year-old was recalled to the Test squad for the series against Pakistan on the back of a stupendous IPL campaign with Rajasthan Royals. While two half-centuries ensued in the two Tests against Pakistan, doubts still remained over the long-term suitability of Buttler in the Test squad.
With his 349 runs in the five Tests against India, Buttler has shown that his Pakistan display was no flash in the pan and a maiden Test ton at Nottingham was just reward for his tenacious and counter-attacking approach while batting at number six in the England batting order.
RAVI ASHWIN IS OUTBOWLED BY MOEEN ALI
Ravichandran Ashwin’s prolific wicket-taking form in Indian subcontinent conditions had been key to the team’s rise to the top of the Test standings. However, question marks over the off-spinner’s overseas Test credentials have remained and his latest performance will do little to make such doubts go away.
Ashwin actually started the series on fire by running rings around Alastair Cook at Edgbaston. A seven-wicket haul in the first Test indicated that Ashwin might be about to set the record straight for good but what followed was a lean patch which hurt India greatly.
He went wicketless at Lord’s under seaming conditions before picking up an injury and just the one wicket in the third Test. He was surprisingly persisted with in the fourth Test despite his injury troubles and was embarrassingly outbowled by Moeen Ali. No disrespect to Moeen, who is a fine spinner, but picking up just three wickets on a pitch where his England counterpart decimated India with a nine-wicket haul shows that Ashwin is not the force India need him to be in overseas tours.
ROOKIES HUNG OUT TO DRY
While Curran’s emergence was a big win for youth in the series, the vilification of Kuldeep Yadav and Ollie Pope should serve as a cautionary tale for youngsters. Pope was called up to the England squad after a breakout season with Surrey but scores of 28, 10 and 16 saw the 20-year-old dropped after just two Tests. Made to bat at an unfamiliar position of number four in the batting order, the youngster looked solid with his technique but showed the vulnerabilities of youth with some of his dismissals.
On the other hand, Kuldeep was instated in the India playing XI at Lord’s as the side’s second spinner but a wicketless display on a pitch tailor-made for pacers saw the youngster promptly dropped and sent back to India.
In both instances, two rookies were made the scapegoats of the respective team’s larger failings in general and the harsh treatment meted out to them shows how cruel international cricket can be towards youngsters.
Kohli and his men fell to a 4-1 defeat at the hands of the hosts who clinched victory in the final Test at the Oval by 118 runs on Tuesday.
Despite the scoreline suggesting otherwise, the series was a hard-fought affair with India relinquishing advantageous positions multiple times in the five matches.
Kohli, who finished as the series’ top-scorer with 593 runs, has called the series a ‘perfect advertisement’ for Test cricket.
“It might not show in the scoreline but both the sides know that it’s been a competitive series, it’s taken a lot out of both the sides, and it’s been something that we’ve really enjoyed. We’ve taken up the challenge head on, and today was an example of two guys not giving up and actually entertaining the crowd,” Kohli said after the loss.
“As I said, this is probably the revival of Test cricket again and shows people what it means to all of us, and for people watching it’s a great advertisement for Test cricket,” he added.
Kohli had earlier called Test cricket the ‘most beautiful format’ of the game in an interview with the Wisden Cricket Monthly.
His No1 ranked India side will take on Australia in their next overseas challenge and the 29-year-old is confident that the lessons from the England series will help them Down Under.
“This kind of series shows you exactly the kind of character of individuals and I see that as an opportunity and not adversity because if you keep winning all the time a lot of faults are swept under the carpet, you don’t realise the faults you need to work on,” he said.
India’s tour of Australia will get underway in November this year.