Yes, both Microsoft Project and Jira offer a Free Trial.
Microsoft Project is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Microsoft Project Starts at $10/User/Month whereas for Jira Starts at $6.25/User/Month when Billed Yearly.
Some top alternatives to Microsoft Project includes Smartsheet, Miro, Process Street, Wrike, Notion, Freshbooks, Jira, Basecamp, Microsoft PPM, Trello, Zoho Projects, monday.com, Asana, ProjectManager.com, Worksuite, Projectworks, RationalPlan, Quick Base, ClickUp, Resource Guru and Resource Management by Smartsheet.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.