Yes, both osTicket and Jira offer a Free Trial.
osTicket is designed for Individuals, Large Enterprises, Medium Business and Small Business.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Pricing for osTicket Starts at $9/User/Month whereas for Jira Starts at $6.25/User/Month when Billed Yearly.
Some top alternatives to osTicket includes Zendesk Support, Zoho Desk, Tidio Helpdesk, Freshservice, Jira Service Desk, Freshdesk, HelpDesk, SysAid, UVdesk, Jitbit Helpdesk, eStreamDesk, ReadyDesk, Spiceworks Help Desk, HESK, BoldDesk and GLPI.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.