Don't type in all caps - even if you are frustrated and angry. It is not good forum etiquette and appears as though you are shouting.
OK - let's say you have a big Photoshop file. To test this, I have just opened a PSD file of nearly 20 MB (CMYK and 300 dpi). By first converting it to RGB* and 72 dpi* (screen resolution) and then using the 'save for web' feature, I got a maximum quality JPG of 207 KB. I could have got it smaller if I had used a lower quality setting - still quite acceptable for viewing on the screen. The person who is proofing this Photoshop file doesn't need to get it as a PDF unless it is part of a layout.
Illustrator files - provided they do not contain a mixture of vector and raster images (i.e. photos) can usually be saved as very small GIFs. A quick test showed that a 1.5 MB AI image could be reduced to 7 KB using the 'Save for Web' feature.
Both JPGs and GIFs can be viewed on screen using the most basic image viewer - no special software required.
If you have a combination of vector and raster files such as a single page layout in Illustrator, then you will probably have to create a PDF for viewing it. From Ilustrator, go to File>Print, choose Distiler as your 'printer' then click on the Adobe PDF button and choose one of the default settings. Since this is for viewing purposes only, choose either 'screen' or 'eBook' (the names used will depend on what version of Distiller you have). Whatever version, choose the one that is NOT labelled 'Press' or 'Highest Quality'. This will ensure that the compression used on the images will be high, resulting in smaller PDF files. If you need more info on the settings to use, post back with your version of Distiller/Acrobat.
* if you need help with either of these, post back.