I think to clear up a lot of the confusion in this thread we have to stop equivocating "burn up" and "burn".
Burning, as in oxidizing, will only happen to a spaceship if it crashes on a planet with an oxidizing atmosphere. On a planet with oxygen breathing life that can obviously happen, on dead planets it's somewhat less likely, since oxidizing molecules will react and become stable unless there's not enough reducing molecules around to react with all, or there's some mechanism that separates the compounds. Volcanoes are an example. In other words, crashing on a planet like earth, or like Venus, a spaceship might catch fire and burn, provided there's enough flammable material on board and open to the atmosphere. Not unlikely, since a flame retardant outside ist not usually required for a vessel travelling through vacuum. Also, since given enough heat, even aluminium or steel are flammable.
Which brings me to "burn up". If the spaceship enters an atmosphere -any atmosphere- fast enough, friction heat will destroy it. How fast "fast enough" (too fast, if you ask the passengers) is, depends mostly on the spaceship, and to a lesser extent on the atmospheric density. A spaceship would normally not be designed to travel through an atmosphere. The design of a vessel intended to travel through vacuum and free-fall for extended periods of time is so vastly different from the design of a vessel intended to enter and exit a planetary gravity and an atmosphere that it makes no sense to design a vessel that can do both. You don't build a submacopter. So, unless there is a very concentration of bolognium in the world available, say, dirt cheap energy to power magical shields and fantastical antigravity devices to make the atmosphere harmless and the gravity irrelevant, you'll have spaceship designed for deep space voyages, and shuttles for re-entry and take-off from a planet. Which means the spaceship, not being designed for landing on a planet will probably "burn up" in the atmosphere, i.e. be destroyed by the air friction and the heat generated by the friction. The spaceship will not be aerodynamic (being designed to flying where there is no air) thus have lots of frilly bits (radiators, sensors, steering thrusters and the like) which will generate lots of air friction, and, not being protected against friction heat, melt and vaporize. Depending on just how flimsy the spaceship material is, and obviously on how fast the re-entry, anything could happen from most fragile outer parts being burned off to the whole spaceship arriving as a clump of half-molten slag. Provided the spaceship is heat resistant (unlikely, since it'll be designed to operate in a perfectly vacuum-isolated and cold, make that COLD, environment) it could still break up because of the shocks caused by air turbulences. Not being aerodynamic, there will be shocks.
If it descends very, very, slowly it might reach the ground intact, though that requires powerful, and working, engines. Assuming the spaceship reaches the ground intact, there is still the very real possibility of it simply being crushed by gravity. A spaceship will be designed to withstand acceleration only in the direction of it's engines thrust, so unless it somehow manages to land in a way that points those engines straight down, the gravity of the planet will point in the wrong direction. Imagine flipping a house on the side, it's not going to stay house-shaped for long since the weight no rests sideways on the load bearing structures (aka walls) which are not designed to hold it that way. Not to mention that even if it doesn't break completely apart, since it's not designed to rest under gravity on a surface, the -now- lower part of the spaceship will still get crushed by the weight, until it's flat enough that the weight of the upper parts can't compact the lower parts any further. All of this again presumes no magic of course.
A spaceship might make it to the ground intact if it was designed for some purpose which accidentally works to its benefit. I.e. a really sturdy spaceship, for example a heavily reinforced and armoured warship, or a ship designed to enter a gas giant and mine deuterium at high atmospheric pressures, might survive entering an atmosphere (it's not actually atmospheric re-entry if didn't start from the planet, is it?) and the uncontrolled flight into terrain. Acceleration at the wrong angle might still be a problem for the internal structures though.