The question belongs to area of graphic design rather, but I will answer.
Fonts
There are some differences when rendering fonts both in various operating systems and in various browsers. In most cases a problem is incorrect use smoothing-mode of fonts in the psd.
Here's some rules the designer is obliged to know
The Elements of Typographic Style Applied to the Web
Fontsmoothing explained
OS X Quartz vs. Windows ClearType
Russian lng. / Preparing PSD to Customer-preview: Smooth, Sharp or None anti-aliasing.
Part1and
Part2
In a static content use of non-web fonts as images (menu category or adv banner) is quite admissible, but, unfortunately it doesn't work for dynamically formed content, for example news title.
Seamless textures & Patterns
Many designers aren't familiar with the basic principles of HTML therefore choose incorrect methods at psd creation.
Create a pattern -> Fill background is a correct way, but not the opposite direction. In similar cases not always it is possible to allocate the pattern that leads to visual errors at fluid layout for example.
Pixel perfect
Gr8 manual from Us2 also a PDF Available
Design etiquette
Photoshopetiquette
PS
Project dutys distribution will help to define responsible people for concrete stages of the project, but it rather belongs to category of project management.
In any case the knowledge of the HTML/CSS technologies and observance of above-mentioned rules by model preparation considerably simplify work.
