Pro Football Hall of fame Running Back Jim Brown is a great example of this trope. Brown was stronger than many linemen, faster than a lot of defensive backs and he never missed a game. The result was leading the league in rushing yards 8 times in 9 years.
In the NBA the center is usually the biggest guy on the team, with an average height of 7 feet. While the NBA has known fast centers in the past, Mr. David Robinson puts them all to shame.
The Big Dipper Wilt Chamberlain would have to as well. He could run the hundred meters in 10.9 seconds and probably could have been an Olympic Hurdler. He also is in contention for being one of the strongest men in the history of the association with anecdotes of him dunking with smaller players actually just grabbing onto his arms and being taken for a ride.
Basketball player Charles Barkley was almost unstoppable under the basket, putting up unheard-of rebound and field-goal percentage numbers for a player his height (listed at six-foot-six but in reality under six-foot-five). He was also incredibly quick, and could get a defensive rebound or steal, dribble the length of the court, and finish with a dunk without any opponent being both fast and strong enough to do anything about it.
Most people remember Muhammad Ali for his lightning fast speed, but he was also 6'4, 220 pounds, had an iron chin, an incredibly durable body and heartfor days.
Modern Defensive Ends in American Football. Players like Julius Peppers and Justin Tuck strike fear into the hearts of many a Quarterback.
Special mention, however, must go to the late, great Reggie White. 6' 8", 300 pounds, could run a 4.6-second 40 yard dash, and in his prime was stronger than any offensive lineman he was matched up with. In fact, one of his favorite methods of sacking a quarterback was simply pushing the guard backwards until he reached the QB.
By the same token, many linebackers in American football are also lightning bruisers, being both agile and fast as well as hard-hitting and punishing when making a tackle or sack. Guys like Ray Lewis and London Fletcher are some of the most diverse defensive players in NFL history, being able to get sacks, forced fumbles, and interceptions.
Junior Dos Santos, Andrei Arlovski, Mirko Cro Cop and Alistair Overeem. All of them are heavyweights who strike faster than a lot of lighter guys.
Fedor Emelianenko, in his prime, is the prototype for lightining bruisers in MMA. He mostly made his name by being the only heavyweight in his era that could move with the speed of a lightweight, which, combined with his striking power and precision, and his masterful ground game, earned him the nickname "The Last Emperor". He could take punishment as well: Kevin Randleman suplexed him hard enough that both fighters went airborne, sending Fedor crashing down on his head. Fedor won the fight 48 seconds later.
Cain Velasquez, he outpowered and outspeeded Brock Lesnar on his way to UFC Heavyweight title and can push insane pace for the entire duration of a fight.
Mario Williams, the defensive end for the Houston Texans. He's 6 foot 7, close to 300 pounds, and he runs the 40 yard dash in under 5 seconds. (4.65, to be exact). Or Albert Haynesworth. 6'6", 350 pounds, runs the 40 in 4.93.
A lot of the good heavy-weights in "Amateur" Wrestling (e.g. College, High School, and Olympic) tend to be like this. They're big, beefy, but they can go about as quickly as a 105 pounder if they've trained right.
A lot of sumo wrestlers fall into this category. Not all of that body mass is fat.
Mike Tyson was not a large heavyweight, but he punched extremely fast and extremely hard, dispatching many of his opponents with almost insulting ease.
As a matter of fact, every single professional boxer may count. Some boxers focus on punch power, punching speed, evasion or blow taking, but there's no such a thing as a slow, weak or fragile boxer.
Many power forwards in the sport of hockey are this. I don't think anyone ever accused Cam Neely or Jarome Iginla of being slow. Most players 6'3 and over are somewhat slower than others but there have been (and are) multiple exceptions to this.
Even a slow hockey player is a fast athlete overall. Training regimens for track athletes and hockey players overlap quite a bit.
Jonah Lomu of the New Zealand All Blacks rugby team. Faster than a wide receiver, built like a linebacker. At full speed, he simply powered through defenders like a truck knocks over traffic cones.
The most well known example in Australian Football is Barry Hall. Built like a brick shit house and incredibly strong but faster than any tall defender.
Lebron James. 6'8", about 270 pounds (most guys his height in the NBA are about 30-50 pounds lighter), also one of the quickest, most agile players in the NBA. It was said of him that while Magic Johnson was the first "point forward", James was the first "point linebacker". Apparently he was an absolute monster as a high school wide receiver.
He was first-team all-state as a sophomore. (He came into the league at 6'8" and wasn't much smaller then than he is now.) Many people speculate to this day on What Could Have Been if Lebron had picked football over basketball.
Two of the best handballers in the world, Nikola Karabatic (France) and Mikkel Hansen (Denmark), both fall well under this category. Both stand at 1.96m and weigh over 100kg. While not having the pace of a winger, they're both fast and technically strong. They also have great view of the game and extremely powerful shots. Both started out as left backs, and they're both becoming playmakers (Karabatic primarily is, while Hansen is sometimes used on the position).
Manny "Pac-Man" Pacquiao. The man started his career at 106 pounds, has advanced all the way to 147 (almost unheard of in Boxing). And his KO percentage has risen, while he retains the same blinding handspeed he had at lower weights. Ricky Hatton got a little taste of that combination earlier this year, as did Miguel Cotto, both men billed as "bigger and stronger" than Pacquiao, until he put a thoroughly one-sided beat down on both of them. Hatton got knocked out in the second round, and the ref jumped in to save Cotto in the final round of their fight.
Roy Jones, Jr. Possibly the fastest pound for pound fighter in boxing history, Roy Jones also had incredible knockout power for the early part of his career. Watching Roy Jones is an experience in and of itself, he sits back and strikes like a viper. He's like a ninja in the ring...just watch his first knockdown of journeyman Richard Hall. I'm pretty sure he teleports at least once.
Sugar Ray Robinson is still considered the greatest boxer of all time by boxing experts. Thanks in part to his blink-or-you'll-miss hand speed and ungodly punching power, he destroyed his opponents with his unequaled talent and the sheer ferocity of his attack. Ringside attendants said it was like watching a dancer with the killer instincts of a tiger.
Mark Recchi is small for a hockey player who plays a physical style (5'10, 180 pounds) but early in his career was nicknamed "The Wrecking Ball" for his propensity to crash into opponents, many larger than himself. Pat Verbeek, also qualifies, earning the amazing nickname "The Little Ball of Hate". Unlike Recchi, he was also known for fighting.
UFC Featherweight champ Jose Aldo fights at 145 lbs and is known for his amazing knockout power in his hands, feet and knees.
UFC Middleweight champ Anderson Silva is a tall, skinny fighter at 185 lbs and is known for his one-punch knockout power as well as his effortless evasion on the feet. He's broken UFC records for winning streaks and title defenses.
Rafael Nadal, one of the greatest current and all-time tennis players, is incredibly fast, strong and has plenty of endurance. This is one of the reasons why he was able to challenge Roger Federer's skills.
Novak Djokovic, in the past, was skillful and fast enough to challenge Federer and Nadal. But he was mostly overshadowed by them partially due to his body not having enough stamina. Come 2011 and Djokovic overshadowedeverybody, very mostly thanks to him becoming more skillful, stronger, faster and tougher. His increased endurance rivaled even that of Nadal's. Djokovic even managed to beat Nadal in the 2012 Australian Open final which lasted 5 hours and 53 minutes (which is the record for longest final for any Grand Slam).