There are a ton of different image editing program out there that do numerous things. But there are even less which support creating and editing layers, something which was popularized by the likes of Adobe.
These programs support editing graphics and their layers.
Fun photo editing software with tools for photo enhancements and repairs.
PhotoScape can add text to an image, apply special effects to a picture, create animated GIFs, create PNG graphics, create web graphics, create slideshows, create and edit layers, convert RAW to JPG and batch process images.
The ninth edition of the popular photo editing suite by Adobe.
Adobe Photoshop 9 CS2 can add text to an image, apply special effects to a picture, view EXIF data, create PNG graphics, create web graphics, optimize graphics and create and edit layers.
Free image editor.
VicMans Photo Editor can add text to an image, apply special effects to a picture, create web graphics and create and edit layers.
A free trial download of Adobe Photoshop CS.
Adobe Photoshop 8 CS can add text to an image, apply special effects to a picture, view EXIF data, create web graphics, optimize graphics and create and edit layers.
Powerful photo editing suite with some legacy features available in this free trial version as an alternative to Photoshop CC or CS4/CS5/CS6.
Adobe Photoshop Free can add text to an image, apply special effects to a picture, create web graphics and create and edit layers.