TeamCity and JIRA?

TeamCity does not have extensive integration with JIRA as Bamboo does, and I am not aware of a plugin that provides it. TeamCity does however, offer a generic integration option to external sites which can be used for basic JIRA integration.

From their documentation:

TeamCity allows to map patterns in VCS change comments to arbitrary HTML pieces using regular expression search and replace patterns. One of the most common usages is to map an issue ID mentioning into a hyperlink to the issue page in the issue tracking system.

Read more here: Mapping External Links in Comments

I haven't set this up yet on our local TeamCity, so I can't testify as to how well it works.

There is this plugin https://marketplace.atlassian.com/plugins/com.stiltsoft.jira.teamcity

TeamCity 5 EAP has support for showing issues from Jira on the tabs of your build.

EAP Release Notes

you still don't have the integration in Jira itself which I would prefer