MysticServer offers 2 Semi-Dedicated hosting accounts (only 4-8 of these accounts per dedicated server depending on the account types), Exim running on it's own IP address for each account. No overselling.

Mini-Super Signup
3 IP addresses (usable, or 2 as DNS)
10Gb Disk Space
125gb Data transfer a month
$25/mo - Order before March 31st, pay annually, and get 12th Month free!

And

Super
Mini-Super Signup
3 IP addresses (2 for DNS)
20Gb Disk Space
250gb Data transfer a month
$45/mo - Order before March 31st, pay annually, and get 12th Month free!

These are not VPS, and don't have the system draining overhead of VPS. These are shared accounts on servers with a finite number of accounts. (Not sold till they bust). There are a limited number of each plan available at any one time, additional accounts beyond that make take a couple of days to provision.

-Jason