I'm a fan of TC, but I think there are some errors in the comparison matrix with CC.
No VCS checkout code in build script - CC offers this. It will do the checkout for you. This is how we use it.
View change log - I don't know what this is supposed to mean, but I can view all the changes for a given build on that build page in CC. It contains the log messages. It is also easy to set up CC to work with external tools for VCS viewing, which gives me an easy way to see diffs in the changes, which is a big advantage of CC over TC
Stop running build - This almost never seems to work for me. But I guess that is a bug and not a lack of the feature.
Browse build results - Unless you have a very specific concept in mind, CC does this.
Browse changes - They are on the build page under modifications.
"You broke the build" notification - You want to see my inbox with "You broke the build" notifications? Plus, CC supports RSS for this. So you should give CC an check here and add an item about RSS and give TC an X and CC a check.
Have some faith in your product. I'm always more impressed by an accurate comparision, including failings, than I am about a company that picks a set of features where it wins in almost every case.