Currently I'm using my own private email address hosted on my own server for family, friends and even my fathers business. And for things like forums and other websites I use AOL since I've had that email since I was but 10 years old.
For IM, well I don't...haven't in the longest time.
Videos I use Metacafe, Vimeo, and of course OVGuide.com for most other stuff.
I will always use Firefox, Opera or even IE- but never Chrome.
I'm afraid to get an Android enabled phone so I go Palm Pre and before that it was the iPhone.
I also have Bing set as my default search engine, but use google search when I have to. I know Bing/Yahoo/any other search engine is a data mining service for ads- so I can ignore this fact. But I rarely use the internet for actual "factoids". That's what libraries are for, internet can not and will never be a reputable source for information with the exeption of private websites dedicated for information. Wikipedia? Pointless, too untrusty. Yahoo Answers? 99% all misinformed people...more than often wrong as well.
Calendar? I use my personal planner. Nothing better than an actual pen and paper.
P.S. I feel I might of lost any reputation I had on this website now. Please don't flame me, I just have a sickening fear of Google. I don't know why, but I just do.