It looks like it does now, albeit not out of the box.

See the Variants section of the Build Systems documentation.

For example, here's my new .config/sublime-text-2/Packages/Makefile with Test and Run commands added:

{
"cmd": ["make"],
"file_regex": "^(..[^:]*):([0-9]+):?([0-9]+)?:? (.*)$",
"working_dir": "${project_path:${folder:${file_path}}}",
"selector": "source.makefile",
"variants":
[
        {
            "name": "Clean",
            "cmd": ["make", "clean"]
        },
        {
            "name": "Test",
            "cmd": ["make", "test"]
        },
        {
            "name": "Run",
            "cmd": ["make", "run"]
        }
]
}

And then add some key bindings:

[
    { "keys": ["ctrl+r"], "command": "build", "args": {"variant": "Run"} },
    { "keys": ["ctrl+t"], "command": "build", "args": {"variant": "Test"} }
]

Tooltip now says
Replace = Ctrl+Shift+H
Replace All = Ctrl+Shift+Enter

Can I suggest putting each separate suggestion into a separate topic?  It will make it easier to find, vote on, and notify when it's done.