The Alteriens in Alterien all have a degree of superhuman strength on par with most enhanced human soldiers.
In Astral Dawn, the Keepers and Defilers both endow the bodies they possess with above normal strength. This is a natural side-effect due to their intense energy.
Golden Boy in the Wild Cards franchise had super strength that the authors tried to portray realistically. If a speeding car or tank slammed into him, for instance, his super strength did nothing to anchor him to the ground and he'd get tossed around like a ragdoll—he had to drop down to the ground and let the tank run part of the way over him, then lift it up and hurl it aside.
Earthcrafters in Codex Alera can give themselves super strength by using their furies. Particularly powerful ones tend to wade into battle wielding hugeBFSs and warhammers to get the most out of this ability.
Eponymous character in Aatomik has super strength as his main power.
Harry Dresden himself gains this after becoming the Winter Knight, at one point he mentions bench-pressing 400 kilos.
Trapped on Draconica: All dragokin have this though it varies between them. Daniar may have the greatest but she's too honorable to use half of it on humans. Rana, however, is often stated as the strongest of the Dragonkin.
An interesting version shows up in the John Ridley books Those Who Walk In Darkness and What Fire Cannot Burn. People with superstrength tend to look scrawny and lack muscle tone because they are unable to strain their muscles enough to gain visible musculature.
John Carter had this in comparison to the Martians due to weaker gravity of Burroughs' Mars, along with an ability to leap incredible distances. Carter supposedly wound up being an inspiration for Superman's creators, as Earth's weaker gravity became one of the justifications for Superman's own great strength and invulnerability.
Pippi Longstocking is an example from children's literature. Actually there are a number of super-strong children in folklore.
Mr Strong has this as his defining trait. One example of his strength involves him lifting a barn house over with his arms as if it was a flower, even after filling it up with water.
One of Mr Impossible's feats involves kicking a football so high up that it is covered with snow by the time it comes back down to earth.
In Tales of MU Puddy is easily the strongest character in the series, though how is unclear. In her first appearance she pins Mack to the wall with ease, later on Mack (a half-demon) is shown to be strong enough to wrestle a half-ogre and dent concrete with her fists.
In Vampire Academy, Strigoi have super strength which increases with age and the consumption of Moroi and dhampir blood. Isaiah, an ancient Moroi, was observed giving a light push which packed the force of a small car.
Fearless plays with this: Gaia is technically super strong, but only in comparison to other humans (in a hypothetical battle against, say, Superman, she would get curb-stomped). This is because she doesn't feel fear and therefore isn't held back from unleashing everything she's got when she fights, like most people are.
One of the most common powers or side effects of powers in Super Powereds. A number of students at the Lander University Hero Certification Program have superhuman strength and endurance to varying degrees. For example, Roy is a typical strongman: tough, able to give and take a Megaton Punch. Chad is the top student in his class in terms of combat ability. Using his power of body control, he has been able to improve his muscles, bones, and brain to superhuman levels and even attain a small Healing Factor. Stella can turn her body into steel, which boosts her strength and endurance. Violet becomes superstrong when increasing her density. Later on, Vince learns to absorb and put out kinetic energy, allowing him to take any punch (it feels no worse than light tap) and then give it right back, which also allows him to survive falls. Sasha can deal increased damage thanks to her Super Speed. Outside the school, Roy's father Titan is widely believed to be the physically strongest man alive. In fact, he almost never uses his full strength in a fight for fear of collateral damage. He finally gets to show off his full strength in the Corpies spin-off. In Super Powereds: Year 3, Roy is demonstrated by a boosted strongman that there is Always Someone Better... who then gets the same lesson from Titan.
The Primarchs in Horus Heresy are superhumanly strong even if one takes under consideration that they're three metres tall. Roboute can easily punch a man's head off with his bare hands, and Vulkan once sends an entire tank flying through the air with a swing of a hammer.
In The Magician's Nephew, Jadis is transported to London and discovers her magic doesn't work. After being mocked by people who think she is crazy for calling herself a witch, she demonstrates she is still strong enough to rip an iron rod off a lamppost and use it as a club, and throw people around like ragdolls.