Possible quests

Chaotic quests are marked "C-", lawful quests "L+", Chaos God quests as
"CG". Chaos God quests are not needed to successfully complete the game.
Quests required to finish are marked "*R*", those which are strongly
recommended, but can be worked around as "SR". Some of the "kill someone"
quests are obviously mutually exclusive.

                        The village elder of Terinyo asked you to find and
These are mutually      relieve the village carpenter. L+
exclusive               The village druid in Terinyo asked you to vanquish
                        the black druid Keethrax. L+

The tiny girl in Terinyo asked you to bring back her puppy dog. L+
The sheriff in Terinyo asked you to stop the raider gang led by Kranach,
the raider lord. L+
The sheriff in Terinyo wants you to bring Hotzenplotz, the crime lord, to
justice. L+
The healer asked you to be merciful. L+ SR(if you don't have Healing skill)

Hotzenplotz asked you to slay the sheriff in Terinyo. C-
Hotzenplotz asked you to slay the healer in the small dungeon. C-
Find Blup's mom L+
The master thief in Lawenilothehl wants you to prove your talent as a
thief. C-
The old barbarian wants you to slay more beasts of the type you first slew
after entering the Drakalor Chain.

The ancient dwarf asked you to...
     kill random monster L+
     find the animated forest and venture beyond it L+
     become the champion in the arena L+
     vanquish the ogre tribe adjacent to the dwarven city L+
     slay the daemon terrorizing the dwarven village L+

The ancient dwarf asked you to free the spirit of Griff Bloodaxe. L+ SR

The greater white unicorn asked you to slay its evil counterpart. L+
The greater black unicorn asked you to slay its good counterpart. C-

A strange ratling asked you to bring n more artifacts to him. CG
A strange ratling asked you to bring one more artifact to him. CG
A strange ratling told you enter the strange circle. CG

The dwarven artificer asked you to slay the village druid. C-
The dwarven artificer asked you to kill the ancient dwarf. C-

The old crone in the remote village asked you to...
     bring the skull of a giant boar. CG
     procure a potion of cure corruption. CG
     find the corpse of a farmer. CG
     bring a scroll of danger. CG
     find a wand of monster creation. CG

Khelavaster asked you to find the Five Elemental Temples, defeat their
guardians and recover the Orbs. L+, *R*

Sharad-Waador, the ancient karmic wyrm, asked you to defeat one of his
ancient archenemies.

While these aren't quests per se, you might want to pursue them for their
rewards or experience:
Get permission from the High Kings to pass the Eternal Guardian. SR
Find Caladriel's artifact
Restore the self-esteem of an old gladiator L+
Get the burley adventurer to befriend you
Adhere to the principles of the Cat Lord.
Find the Quickling Tree.
Climb the incredibly deep rift
Find the Sinister Library of Niltrias
Find the assassin's Guild
Kill the Assassin Prince
Rescue the frog Prince (okay, it is a quest; but it's so darned rare) L+
Find the Sceptre of Chaos CG
Feed the hungry L+
Entertain the lonely L+