Where did you find this thread - it's 3.5 years since the last post
The best advice I can give is "don't remove things if you don't know what they do". The second best is "take a nandroid backup before removing anything" (i.e. a backup made using a custom recovery, which backs up the ROM - if you don't have a custom recovery, be very careful what you remove). "Freezing" an app using Titanium Backup is safer than removing, because it's easier to reverse, but if you freeze something vital you can still get into big trouble (because you need the OS to be running in order to use Titanium to unfreeze them).
General rules though: if an app has a specific purpose which you don't need, and if other apps you do use aren't integrated with it, then you are probably safe. So if e.g. you don't use Twitter then you lose nothing by removing the Twitter app. If you don't use live wallpapers, you lose nothing removing those. To illustrate the "freezing" point though, back in 2010 I froze a Flickr app that came with my phone, on the grounds that I never used it. However, the contacts app had some integration with that, which meant that it would crash if I ever selected one page of the contacts app, even trying to scroll past it. Since I had frozen rather than deleted Flickr this was easy to fix, but could have been a pain otherwise.
And yes, we do see people here who say "I didn't know what this app was so I figured I didn't need it, and now my phone won't boot - help!", which is why my first advice is if you don't know, find out first rather than just seeing what happens.