In terms of what many vendors call unlimited service, Web Hosting Pad's terms of service indicate that its definition of unlimited is what it calls "incremental." Basically, as you need more capability, it wants to discuss that with you, both to help you get the most out of its services, and to make sure you're using its systems without abusing them.
For more business-oriented customers, it offers a full range of VPS and cloud hosting, along with serious Java Tomcat hosting, including shared and private JVMs, as well as Java VPS offerings. With a company named MochaHost, you'd expect some quality Java support and it has it. So brew yourself a cuppa, open a browser window and give MochaHost a spin. You have half a year to make up your mind, so if it turns out MochaHost really isn't your cup of tea, it'll understand.
Many web hosting services offer so-called unlimited or unmetered service for whatever amount of bandwidth, disk storage and sites you use. It's important to understand that most terms of service actually do limit the definition of "unlimited" to what's considered reasonable use. The bottom line is simple: if you're building a pretty basic website, unlimited means you don't need to worry. But if you're trying to do something excessive (or illegal, immoral or fattening), the fine print in the terms of service will trigger, and you'll either be asked to spend more or go elsewhere.