When comparing vimwiki plugin for vim vs Checkvist, the Slant community recommends vimwiki plugin for vim for most people. In the question“What is the best cross-platform note-taking app?” vimwiki plugin for vim is ranked 23rd while Checkvist is ranked 42nd.
Specs
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Pros
Pro Internal link makes it easy to create a knowledge network
Pro Comfortable for Vim users
Has a very minimal learning curve for people already used to Vim, as the preset shortcuts are very easy to learn and don't conflict badly with other Vim behaviors.
Pro As simple or as complex as you need
Checkvist hits a sweet spot between minimal and complexity. It gives you a host of options and extras to use on your lists, but you can completely ignore them if you don't need them and keep it very simple. This makes Checkvist a one-stop shop, regardless of what type of 'list' you need.
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.
Cons
Con Limited to use with vim only
vimwiki is a plugin for vim, so you won't be able to make use of it if you're not a vim user (and don't want to be).
Con Limited capability in the android app
Checkvist is primarily a web interface.