We have a standard Debian Wheezy HAProxy container, and also a HAProxy micro container based on Alpine Linux. The HAProxy micro container is a mere 5.1MB download and 17MB uncompressed.
HAProxy like Nginx can function as a reverse proxy to serve apps from multiple containers on your host and network. We have also added a couple of basic configs in the /etc/haproxy folder to help you get started quickly. A basic reverse proxy to serve your container apps and a load balancing config. For deployments if the HAProxy container is deployed behind a NAT you will of course need to port forward public IP:80 to HAProxy on containerIP:80.
Nginx perform the functions of HAProxy apart from being a fantastic web server and is another high performance solution. You can't go wrong with either of these.
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