Here are the places I would suggest for folks looking to eat and drink in Eugene:
Eat - Off the top, if I'm being honest, Eugene isn't my first choice for high-quality/fine dining in the Pacific Northwest, a lot of the pricier/nicer restaurants are frankly overrated. True to college town form, the best eats are the places college kids can afford. If you're looking for that type of fine dining experience I will list a few places that are pretty good but I wouldn't say there's a must-hit place of that type.
Burrito Boy - A Eugene institution for late night munchies, cheap hangover remedies, or around the clock goodness. Burritos and tacos that are excellent, open 24 hrs a day. If you're looking for cheap, quick, and delicious, this is your spot.
The Glenwood - Another famous spot, plan on waiting up to an hour for a table on a weekend, but this is the best breakfast/brunch spot in town. There are two locations but don't bother with the one on Willamette - hit the West Campus area one for true Eugene flavor.
Pegasus Pizza - There are a few pizza places in town that are pretty good but this is my favorite. Not a huge place but there are good beers on tap and an underrated bar in the basement.
Cornucopia - Sort of quintessential Eugene, they have an excellent beer selection with some slightly uncommon brews, excellent sandwiches and burgers, and good vegan options because never forget this is a hippie town.
McMenamins - There are a few locations around, they are slowly taking over the PNW. Another good brewpub type option with good beer. Pro tip - order a "Rubinator".
Beppe and Gianni's - Near the law school so I ate there a fair amount, good Italian food. There is also an offshoot Neapolitan pizza joint owned by the same people called La Perla located near downtown that is new; I haven't eaten there yet but Kirk Herbstreit swears by it so there's that.
Cafe Soriah - Greek/Mediterranean food, not my exact cup of tea but my wife really likes this place and there are a lot of good dishes on the menu.
Belly - A new place that I haven't been to yet but we are dying to try it, we have heard really great things about it. Sort of upscale comfort food. I am hoping we will get there one night we are there.
Drink - Tons of great places to have a cold one, I'll just list a few but it's hard to go wrong.
Rennie's/Taylors - These are located a block apart, right on the Western edge of campus. If you're looking for the campus-type experience with students and all that look no further. I slightly prefer the ambiance at Rennie's but that's just me, you can easily have a drink or two at each place and judge for yourself.
Max's - Probably my favorite bar in Eugene, located just west of campus a ways. This is the bar that "Moe's" from The Simpsons was based on. They've had to renovate a bit and I don't think they let you throw peanut shells on the floor anymore but it's still a must as far as Eugene watering holes go.
Ninkasi Brewery - It's a pretty new brewery and you'll see their beers on tap and in stores all over these days, but I'd recommend heading out to the taproom to try some there. They'll have food trucks on site if you get hungry. It's a cool spot and the best brewery in Eugene and one of the best in the PNW.
Horsehead Bar - Downtown Eugene, a bit on the divey end but again, my kind of place. They'll mix a stiff drink and there's a friendly atmosphere.
That's it for now. Looking for something specific? Just ask!