I'd recommend against learning a high level garbage collected* language first. Bad habits die hard. Certainly no console game dev would want to hire someone with a complete ignorance of memory management. At a certain PS3 dev I worked at a few years ago, I remember the programming test was something like implementing a queue. It was a gameplay programming position, so at the time I thought it was odd. However, having worked in the industry for around a decade now, I understand their reasoning. There are a lot of programmers coming out of a CS degree having learned something like Java, and having picked up some really bad habits.
The C++ "blowing your leg off" references are funny, but I always think it's silly when people give examples like "what does this mean? (*(&((**(&x)(++a)))))". Of course you're going to blow off your leg if you go around spraying an uzi in every direction like a complete spaz.
The OP is interested in companies that indeed use C++, so whether you can blow your leg off with it is kind of irrelevant. Eventually it has to be learned. Just because you can do really hairy things in it doesn't mean that you can't learn in such a way that you start with the gentle concepts.
I think part of the reason people stumble when first learning C++ is that there are REALLY BAD resources for C++ in the internet, and also some really bad books out there. As an example, this is an article I wrote (13 years ago according to the time stamp) right here on gamedev - http://www.gamedev.net/page/share.php/_/technical/general-programming/modular-programming-a-classless-approach-part-i-r1066
It makes me cringe reading it. I had NO IDEA what I was talking about. The internet is flooded with bad C++ resources like this, particularly if you hang around game dev sites.
Since someone just made the extreme suggestion of Javascript, I'll go the other direction and suggest picking up this book -
http://www.amazon.com/Assembly-Language-Step-Step-Programming/dp/0470497025
The first version was one of the first programming books I ever read, and it completely took the fear of low-level away.
* speaking of garbage collection, a PS3 game I worked on nearly shipped with a periodic frame dip. Turned out it was Lua's garbage collector. Took a guy a bit smarter than me to get it to play nice.