Generally, the budget ones have a massive difference between wet and dry performance, and that can catch you out.
The only one I would categorically tell you not to use is the Autogrip FS10(something), as these are truly lethal.
I have experience of CP641 tthat VXL V6 suggested, and agree with him, but would add they can aquaplane worse than premium type tyres
Nexen N6000 offer mid range grip, but an excellent ride for cruising, and good straight line stability.
Kuhmo KU3(x) offer pretty good grip, but no feedback, so if being spirited, never quite sure when they will put you in a ditch.
Most of the current Dunlop SportMaxx variants offer reasonable performance, but tend to fall off a cliff at around 3mm
Falken tend, on the Omega, to have near dangerous (lack of) straight line stability
Some here have had good results with GY F1 Assym2, but I found they offered midrange grip at premium prices. I also had 4 failures out of the 6 I had.
I had awful grip and wear problems with Conti SC5 (like I trashed the fronts in 3k)
Avon ZZ5 lasted me 4k on the rear, midrange level grip
I have had a LOT of tyres, and driven lots and lots of members' cars, so have a reasonable grasp of what works on the Omega... ...although to me grip is everything.
I personally use Michelin Pilot Sport 4 on my remaining Omega now... ...with the most recent pair going on a couple of weeks back.