We currently track compiler performance at: http://perf.rust-lang.org. This is a really important source of data for the compiler team and helps us keep on top of compile time regressions and track improvements to compile time (an important goal for the Rust compiler). It's a piece of infrastructure we're keen to keep around and to extend
However, it is a crufty bit of software. The backend is a mess of bash scripts, Python data processing, and a node.js web server (which also does a bunch of data processing). It regularly crashes or runs out of memory. It would all benefit from being rewritten from the ground up in Rust. This would be a medium sized web project and hopefully a pretty interesting one. You probably don't need much experience with anything other that Rust; knowledge of general web stuff and Hyper (or one of the other Rust web frameworks) would be useful.
I'm very happy to help out and mentor. Let me know if you're interested!