WinZip is one of the most popular zip tools available pretty much on every OS, mobile or not, and has now finally made it to BlackBerry 10. With WinZip you can open and save zip files, save the extracted file and more. It also has File Support and 3rd Party Integration for:

Photos and images (.jpg, .jpeg, .png, .bmp, .gif)
Text files (.rtf, .csv, .txt, .ini, .inf, .bat, .js, .log, .xml,.css, .java, .cs, .h, .m,.cpp,.c,.sql,. properties) –
Web files (htm, .html,.jsp,.asp)

WinZip for BlackBerry lets you open other popular file types in 3rd party apps:

Word documents (.doc, .docx)
Excel spreadsheets (.xls, .xlsx) –
PowerPoint presentations (.ppt, .pptx) –
PDF files (.pdf)