The stock size is 205/60R16. While 60-series is no longer favored as a high-performance sidewall profile, it still gives you some latitude between a somewhat-sporty ride and less-performance-oriented luxury-type of ride. You might not find much in the way of auto-crossing or R-spec tires, but hope isn't lost. The manufacturer's specifications call for a V-rated tire, even though you won't go 149 mph (the car probably couldn't do it anyhow), the difference is felt in cornering, if someone went to an H-rated or even T-rated tire (or an knowledgeable owner put some S-rated tires on it).
It depends on what type of tire you want: Like most goods, you don't want to go too cheap, but you don't want to spend too much; you generally get what you pay for, if you know what you want, yet know what you don't want. Tire Rack's great for looking up a tire, and dig though to see what others with the same (or a similar) car think about it. Sometimes people dislike a tire because of road hazards (no two people get the same puncture, never mind that any tire can be potentially felled by a nail) and some people think spending $1000 on tires will immediately transform a Jetta into an F1 car, though it won't (maybe an older BMW, as an example). Also, nothing gets a perfect 10, because it's the Internet, since a pimple on a supermodel's behind instantly garners a zero, to most keyboard warriors.
Also, are the existing tires more than 5 years old? Made in China? Never heard of the brand? While they may be safe enough, they may become (or were manufactured to be) more pliant and less "sturdy" than traditional performance branded tires due to aging and/or a lack of inherent tire technology (what works on a Buick Century could fit a Honda Civic or an Audi 80, but they're totally different rides and the expectations put on by the owners and the design of the car is different). A cheaper tire generally creates a one-size-fits-most mentality, which is honestly fine for most of the driving public, in terms of expectation, performance, and cost. Tires aren't on the forefront of most people's minds until they're flat or missing.
Tires are also generally a sacrifice of some sort, it's really hard to get it all in one tire, unless you fork over some dough...just like looking for the one sport-utility-sports-luxury-not-ugly-car to rule them all. Examples:
Want a quiet ride on the highway and limit-busting cornering power, but want a cheap performance tire? Expect a tire that doesn't last long nor have a mileage warranty, but you'll have to balance out the two extremes.
Want a quiet tire and soft ride? Expect something that squeals when you hurl it around a corner, unless you fork over some dough for a top-of-the-line model.
Want to go with a long-lasting mileage warranty on a performance sedan/car? Hard ride and possible imbalance issues may result, unless you drive gingerly. Or it still squeals around every corner.
There's always combinations of tires and cars that work well with some cars, and for some reason, don't work well with others, and there's not a whole lot of exact rhyme or reason for it (car is too heavy, high-center of gravity, road surfaces vary from area to area, et cetera). But at the same time, you can really transform the car's handling and wet/dry-weather prowess by choosing the right changeover. As an example, I switched from an H-rated tire to a W-rated tire on my car, and the ride is the same, the steering input is slightly more responsive, the tires don't squeal in a corner, they handle much better a the car's limit, it's quieter on the highway, and they do not hydroplane in the rain or standing water. I'd suggest them, but they don't make it in your size, and I don't want to sound like a shill. Also, I never suggest going up two speed ratings as a matter of principle (yes, some people in service industry actually have some scruples), unless the customer is clamoring for a high-performance tire above what their tires do already; usually they see an $700+ estimate and look back at the cheaper stuff...
Oh, and don't buy used tires, except in an must-get-to-destination-now emergency. I've seen and heard too many nightmares.