When comparing Checkvist vs Quire, the Slant community recommends Checkvist for most people. In the question“What is the best cross-platform to-do list app?” Checkvist is ranked 24th while Quire is ranked 34th.
Ranked in these QuestionsQuestion Ranking
Pro Tasks can be managed with custom tags
Pro vim-like commands
Pro Convenient search by text or tag filtering
Pro Converts incoming emails to todos - this is a way to enter tasks from anywhere.
Pro Great search
Search filters help you search for tasks by tag, due date, assignee, etc.
Pro Very flexible
To-do lists often need to be grouped and regrouped for clarity. The outline-based nature of Checkvist makes it easy to move things across categories, to increase and decrease priority, etc.
Pro Smart parsing of items
Parses markdown, html links, hashtags to become formatted text, clickable links, and tags, respectively.
Pro Generous set of free features
Checkvist offers many free features if you are using this individually.
Pro Supports comments on tasks
Any item can have a free-text comment, which can be shown or hidden as desired.
Pro Cross platform, sync and offline usage
Pro Organizations, projects, task, hierarchical subtask and smart folders
Unlimited tasks/todo structures
Pro Integration with calendar and github
I haven't dabbled with that though
Pro Multiuser handling
Handle multiple users and assignments
Pro It is free
As of now, at least.
Con Limited capability in the android app
Checkvist is primarily a web interface.