Hmmm... a lot of varied & interesting answers.
I would solidly recommend a BMW, the fact it's rear wheel drive is a bonus. BMWs are built to a certain quality, not down to a price. Front wheel drive cars became popular with manufacturers in order to give lower, flatter floors (You don't have a transmission tunnel running the length of the car) and for ease of manufacture (front wheel drive components are mounted on a 'subframe' & can be quickly bolted into the car to speed up manufacture.
Your BMW e30 is an old car, so won't have ABS, traction control, etc., that many modern cars have - but then a front wheel drive car of the same age wouldn't either.
In a front wheel drive car, the front wheels are doing the steering, braking & delivering power - the back end is just being dragged around as dead weight - this means that at the limit, your front end is the only thing that you have control over - go into a corner too fast & unless you have enough power to 'pull' yourself round, you're going off the road!
With a rear wheel drive, sure - you can apply too much power & the back end will swing out, but ease off & it'll come back into line - you jut need the front wheels pointing the right way.
As for snow & ice, well no car's great in this - front wheel drives tend to be better from the outset as they have the weight of their engine & transmission over the driven wheels - when I was young & driving rear wheel drive Volvos & Fords, we'd just switch to snow tyres & weight up the boot (trunk) with sandbags or rocks to get traction, you can't add more weight to the front wheel drive cars without having someone sit on the front of the car!
What I'm getting at, is that your car isn't a monster: It won't spin you around as soon as you move off from a junction in the wet unless you're VERY heavy footed & have badly worn tyres - In this situation, a front wheel drive will go in a straight line due to torque steer anyway.
Just buy your car, learn to drive it & enjoy it.
I did over 70 miles door to door in my E46 320d last week on wet roads in less than an hour - never a scary moment, the traction control never cut in, felt as safe as anything.
ps You never see a front wheel drive race car, do you?