Yes, both Backlog and Jira offer a Free Trial.
Backlog is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Backlog Starts at $29.16/Month when Billed Yearly whereas for Jira Starts at $6.25/User/Month when Billed Yearly.
Some top alternatives to Backlog includes Smartsheet, Miro, Process Street, Wrike, Notion, Jira, TeamGantt, FogBugz, Teamwork, ProjectManager.com, Trackboard, TaskBranch, Quick Base, ClickUp, TestRail, Height and Project Insight.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.