$ whois googlealternatives.com
The result made me chuckle. :) Registrant:
DNS Admin
Google Inc.
1600 Amphitheatre Parkway
Mountain View CA 94043
US1) Chrome -> Firefox (Firefox 9 is surprisingly snappy, seems to me like a perfectly sensible alternative)
2) Search -> https://duckduckgo.com/lite - doesn't even show your query string in the URL. BUT: Works only in general search terms, not for specific (long) queries. There, Google is still unavoidable, it seems. But for 90% of my searches, DDG is perfecly OK.
3) Zoner instead of Picasa and zonerama.com instead of Photos in G+. [zonerama gives 2GB for free]
4) GMail: I found Hotmail to be adequate, but recently I switched to paying for my own webhosting, so I don't use free email anymore.
5) Google Calendar/Tasks -> Toodledo.com
6) Google Analytics,Adsense -> don't know...haven't found alternative yet.
In mu current understanding, it is not a problem to use some of the Google services, if one found them to be the best. What one should avoid, in my opinion, is to register account with Google and attach one's real-life identity to it. I did it in the past, and now consider it a big mistake of mine. I must say that I am still amazed so many people are ok with that.
For a highly symbolic $5/year (with options to buy more space and features if and when you need them) fastmail.fm has an excellent mail service.
http://www.wolframalpha.com/ ( not just math!, for example type in your local weather)
They have a way better privacy /user policy!
But I did have the damnedest time remembering their domain name! "Google" was an inspired name choice, including the trademark-friendly intentional misspelling. "Duckduckgo" not so much! I had to re-find the name several times.
However, DDG has a nice shortcut, which turned out to fit within my limited wet-ware RAM: http://ddg.gg.