Health Information for Travelers to Kenya. From the US CDC.
Recommendations are pretty much the same for Tanzania, and there are only a couple of other considerations for Southeast Asia.
Yellow fever is a must. Tanzania and Thailand both require it if you are arriving directly from an infected area. See map
Hepatitis A is always a good idea. It is spread by fecal contamination of food & drink. You have little control over who will be handling your food, drink or utensils and how meticulous thy are about handwashing. Heck, you can get it in a developed country--there is currently an outbreak in the US associated with frozen berries sold by a supermarket chain.
There is a combined Hep A/B vaccine. Hep B is spread by body fluids. Even if you have no plans to get, shall we say, very well acquainted with someone you meet on the road, it is possible to get Hep B from a shave or manicure, from a tattoo or piercing, or from needles or blood products used for medical treatment.
Typhoid can be hard to diagnose and there are antibiotic-ressitant strains out there.
If you have not been given a polio booster as an adult, this is a good idea.
Japanese encephalitis occurs in Southeast Asia, but not Africa. It is primarily a disease of pigs & some birds and is spread by mosquitoes that breed around rice fields & hang out in pig sties. Immunization is usually recommended only for people who will be spending a month or more in rural areas.
Ask your doctor if you will be going to a meningitis risk area in Africa.
You should always take precautions about mosquito bites. Besides malaria, yellow fever & JE, there is dengue, for which there is no immunization and which is a serious risk in some places.