Have played through quite a lot of the game now.
Bugs:
The Xbox control(on PC) stops working until the game is restarted.
The mobile phone bugs out sometimes so cannot view stuff.
Some menu's bug out just like the mobile phone, probably same bug.
Pop-in is crazy bad in some places and bad everywhere else.
Overall I dont think its as bad as its made out to be, at £50+ it's not good but at £20 its ok. If you like Saints Row game's you will probably like it.
It does feel a bit unfinished but hopefully patches will improve it. Had a 5GB patch so far, dont know what it did.