There are probably thousands. Most archaeologists specialize in one geographic area or one time period, often both! An archaeologist may also specialize in a particular aspect such as flora or fauna, architecture, ceramics or lithics. There is no end to the possibilities. Some of them are listed below including some theoretical approaches.
Archaeoastronomy, Behavioural archaeology, Biblical archaeology, Bioarchaeolgy, Classical archaeology, Cognitive archaeology, Commercial archaeology, Egyptian archaeology, Environmental archaeology, Ethnoarchaeology, Evolutionary archaeology, Experimental archaeology, Feminist archaeology, Field archaeology, Forensic archaeology, Gender archaeology, Geoarchaeology, Historical archaeology, Industrial archaeology, Interpretitive archaeology, Landscape archaeology, Maritime archaeology, Marxist archaeology, Mediaeval archaeology, Nationalist archaeology, Nautical archaeology, Neo-Marxist archaeology, New Archaeology, Processual archaeology, Post-Processual archaeolgy, Osteoarchaeology, Settlement archaeology, Social archaeology, Underwater archaeology, Urban archaeology, Zooarchaeology