Q: Why don't my new Apps go ahead and download onto my phone?

Hi Cabbagejuice,

Thanks for using Apple Support Communities.  I would check to make sure Automatic Downloads are on for the same Apple ID that you are using on your iPhone:

iTunes Store: How to enable Automatic Downloads

http://support.apple.com/kb/HT4539

Enabling Automatic Downloads on your iPhone, iPad, or iPod touch

1. Tap Settings > iTunes & App Stores on your device.
2. Tap Sign In if you're not already signed in to the iTunes Store.
3. Enter your Apple ID and password.
4. Tap to enable or disable Automatic Downloads for each content type.

If they are already on, I would also suggest restarting and resetting your iPhone to see if that resolves the issue:

iPhone, iPad, iPod touch: Turning off and on (restarting) and resetting

http://support.apple.com/kb/HT1430

Cheers,

- Ari