Most recently I have been a Test Engineer then Product Engineer and now Vehicle Application Engineering with a side of reverse engineering.
My current position fits me very well as I have a heavy background in Automotive Engineering and have worked some time as a mechanic in a garage among quite a few other positions.
Fairly specialized, and usually fun most days.
Never would have expected myself in a position like this when I look back at my aspirations in College.
My "path" would have been similar to what suprarx7nut described.
Though I graduated around the time the big auto manufacturers were hurting badly (2008) and received government bailout.
That was the nail in the coffin for me, I had zero interest at that point to work in the Detroit or east coast areas for Automotive engineering headquarters.
Not to mention I despise the Detroit area, have been back a few times in the last couple years for training and it still looks like a shithole.
On a lighter note if you get a chance to see Toyota's new headquarters in Plano Texas, do it!
Its one of the most amazing business campuses I have seen in my life.
Which makes sense since they spent a Billion dollars making it. (Yes Billion with a B)
I was down there earlier this year, can't really say why I was down there but its business related
Edit: Forgot to mention one of the coolest things I saw there.
The grand daddy to the MKIII Supra.
They have a 2000 GT there on display, its immaculate.
Very drool worthy.
Only 62 LHD models made it to the U.S. out of a total of 351 built ever.