Own the rights?
Noting the size of Farquaad's castle, Shrek jokes that Farquaad may be compensating for something (which could be a joke about genital size or Farquaad's diminutive body size). This is later referenced again.Shrek takes a 'shower' in mud. His butt is breifly seen.Shrek and Fiona kiss a few times.Donkey talks in his sleep before being woken up by Shrek "Oh baby, that's how I like it..."Farquaad is seen laying in bed while repeatedly watching Fiona on the magic mirror, he then becomes shy of his exposed chest (and presumably his erect nipples) and halfway covers himself up.Dragon and Donkey fall somewhat in love throughout the film. We see Dragon blow smoke rings in the shape of hearts at Donkey.
Robin Hood and his men show up and he briefly holds a knife on Shrek. Fiona, however, goes into martial arts mode and takes out all of the men (with punches and kicks, etc.) with one of them shooting an arrow at her and Shrek. We then see that the arrow struck Shrek in the behind (no blood or gore, although she has to pull it out and we then see what looks like a tiny bit of blood on just the arrow).
At least 3 damns, 2 asses (possibly as in "donkey"), and 1 crap.
After Farquaad announces that whoever kills Shrek will be announced champion of some contest, the ogre picks up a mug and asks why they can't settle this over a pint. When Farquaad refuses, Shrek quickly downs the ale. He then opens a spigot on a barrel that sends a torrent of ale toward his attackers, knocking them down.
When Shrek lets out a monstrous roar toward some villagers who've come after them, that might be a bit unsettling or even scary for some of the younger viewers (although he does so for fun to scare them away).Shrek and the Donkey must cross over a rickety and swinging rope bridge that's over a river of lava hundreds of feet below them (Shrek isn't nervous, but the Donkey is scared, especially when Shrek starts shaking and swinging the bridge).Once Shrek and the Donkey are inside the castle where Fiona lives, various sights inside it might be unsettling or scary for younger viewers. Among them are various skeletons of men who previously tried to rescue the Princess, the general decrepit and somewhat spooky looking state of the castle, and then the huge, fire-breathing dragon that chases after the Donkey, shooting fire at him and seemingly attempting to kill him. Later, however, they learn that the dragon is a girl who becomes smitten with the Donkey, so some of that scary edge is removed from it (although it later chases after them again). Lord Farqaaud is eaten by a dragon at the end.