I agree with a lot of @The Rooster's points. I look for an aluminum frame and brass gears at minimum. I'm not too concerned with one side-plate being graphite, but it's not preferred. I've fished some graphite framed reels, some of the newer ones might be better, but they always ended up flexing or creaking and feeling awful. I wade fish a lot, so I will spend longer hours holding a spinning combo. I want my spinning reel to be as light as possible, so I fish Daiwa's. On the cheap end, they're ounces lighter than a comparable Shimano. For rods, I like split-grips with cork (but full handle cork is OK too) - EVA just looks cheap to me and at least the cheaper EVA feels "soggy" when wet.
I'm also sort of partial to Daiwa spinning reels as I've had some problems with cheap Shimano's binding when accidentally being submerged in water. It's possible the newer or higher end ones don't have that problem, but it's enough for me to look at Daiwa first.