I have several, ahem, "budget" handguns. All of them are good shooters, and they all have good and bad points. Most of the bad points involve heavy triggers. None of them have any accuracy issues, they all shoot where I point them, good or bad.
Canik TP9v2, Perfect for about 250 rounds so far, decent trigger, very accurate. I like it a lot for the "solid" trigger, none of the trigger safety blade stuff. I will say I like hammer fired guns a lot better than striker. Yeah, I'm old.
Taurus PT111 G2. I have two of them. Both have modded sights and I have replaced the recoil spring assembly with the Lakeline LLC one. The trigger is odd, but I shoot it very well for as small as it is. Sig P226 mags work in it.
Taurus PT809 Compact. Seems to shoot well, great grip shape. Only complaint is the mag release is very hard to press from the left side. From the other side, I can do it with my trigger finger easily. It's been discontinured, so finding another smaller 13 round mag is almost impossible. The gun comes with a grip spacer for the included 17 round mag, so it's only a problem if you try to carry it.
SAR K2P. Really heavy D/A trigger. OK S/A though. Very solid and I would say it's every bit the equal to the very similar and much more expensive Witness P compact. I got mine for $250 shipped. Takes CZ 75 mags.
I also have 3 Tanfoglio 9mms that came from Israel, two fullsized TA/90's and a BTA90 compact. All are great shooters, and have a look that most other guns can't come close to:
And I just got a LEO trade in Sig P226. I haven't shot it yet, but it looks very good, and it was under $400, shipped. Night sights are pretty weak, but it's about 15 years old, so it's expected. It will soon get relamped at Trijicon.
Soon I will be buying a TriStar P-100, and probably a P-120 too. I have no fear of any Turkish made guns. I have a SAR K2 45 and it's a great gun. Not the equal of my Sig P220 accuracy wise, but at almost $100 less(The 220 was a LEO trade in), I can't complain, the difference is very slight. If the K2 45 had night sights and a little lighter D/A pull, I would take it over the Sig just for the grip shape alone.