You can't get income-based Jobseeker's Allowance while abroad.
You can only get contribution-based JSA while abroad if you're seeking work there (and comply with specific rules, which include registering for work in the country you're visiting). The country you're visiting must be within the European Economic Area.
Statutory Sick Pay and Statutory Maternity Pay remain payable (although, of course, an employer might query how you're able to go on holiday when you're meant to 'on the sick').
Benefits related to disabilities normally remain payable during holiday periods. Carer's Allowance, Attendance Allowance and the care component of Disability Living Allowance continue to remain payable to people who move to other EEA countries.
Chris