I've played through the campaign and 1 regualr game so far, and here are some bugs I have found:
1) The Saroog dragon egg quest is broken. After returning with the egg and having it say the dragon would join me, nothing happened and I had no dragon.
2) Lots of the enemy unit text gets cut off, or in many cases, overlaps on top of text.
3) The current method of displaying owned shards in the top bar is a bad idea. Even on a medium map, before the game was over I owned enough shards such that they were off the screen and I could no longer see them all. A much metter system would be to display the colored shard with a number on it or next to it, one for each color.
4) During the final battle of the campaign, I actually lost the fight and the main character died, but it still proceeded as if I had won and gave me the rest of the story line.
5) When viewing the quest log, we need a way to make it display the destination for the quest again.
6) When you view what location a unit is targeting, and it lists coordinates, that is totally unhelpful given we can't see coordinates on the map.
7) The Forge quest seems to be broken. When I returned with all 5 pieces and it gave me the story text, it said an army of elementals had appeared outside. I never saw a sinlge elemental and nothing else seemed to happen, either (I had deactivated this victory condition).
8) The AI never seems to attack. The aggressive AI amassed a huge army, one that was about 5 times larger than mine by the time it killed off the last other AI. He never attacked me, allowing me time to keep researching and build up a few killer stacks to wipe him out.
9) Combat, as has been discussed in many other places, sucks. We need seperate rolls for "to hit" and "damage." Attack ratings get absurd mid to late game. Squads are ridiculous; at best, it should result in x number of rolls, not a complete sum of all members of the squad. Maybe add a slight bonus per member. Also, when a unit levels up, its attack and defense should increase by some amount as well, not just HP. Even a lv 15 4 unit troop, with 200ish HP, which takes a LONG time to level up to that point, is useless later on when its attack is still under 100.
Being able to wear an unlimited number of magic itemss (rings, amulets, etc) is really imbalancing. I assume this is a bug, but it can produce some funny results.
Spell damage is usually worthless; they miss most of the time, and the damage done us usually very low, and has seeming no relationship to the number reported in the spell book. I have enough shards, for example, to do over 200 damage with a Fireball spell, yet have never seen it do more than about 15 damage, even against units with a 0 Defense rating. Mana regen is waaay too low. It should be something like a base of 10% of max mana per turn out of combat, multiplied by INT/10.
10) Dynasty system is pretty funny. Aging aside, some of the children produced are insanely powerful. My first child, at lv 1, was born with Essence of around 75 (I had a lot of shards at this point, but even my lv 12ish sovereign only had around 40-50 at that point). It also had natural mana AND hp regen of 2/turn, which was awesome to be sure, but come on. It would also be nice if these special traits showed up on the character bar, like the other ones like for Guilders/Influence/Movements, etc, or the special attacks.
11) Other random crashes and graphical glitches, but I think those have been covered in many other posts.
12) The movement-increasing tech (can't remember the name, but it's an advanced military tech) doesn't work. Along those lines, units move way too slow in general. It seems like no matter what stack I put together, even with horses, stacks generally move 1 tile per turn unless on roads, (unless you have a soveriegn with the Organized trait, which I'll never make the mistake of not taking again).