While I agree that they are very wide, and this is anti-user, those terms seem pretty standard in the industry. No need to single out grammarly.
Facebook: https://www.facebook.com/legal/terms/
> Specifically, when you share, post, or upload content that is covered by intellectual property rights on or in connection with our Products, you grant us a non-exclusive, transferable, sub-licensable, royalty-free, and worldwide license to host, use, distribute, modify, run, copy, publicly perform or display, translate, and create derivative works of your content (consistent with your privacy and application settings). [...] This license will end when your content is deleted from our systems.
Google: https://policies.google.com/terms?hl=en-US
> When you upload, submit, store, send or receive content to or through our Services, you give Google (and those we work with) a worldwide license to use, host, store, reproduce, modify, create derivative works (such as those resulting from translations, adaptations or other changes we make so that your content works better with our Services), communicate, publish, publicly perform, publicly display and distribute such content. The rights you grant in this license are for the limited purpose of operating, promoting, and improving our Services, and to develop new ones. This license continues even if you stop using our Services (for example, for a business listing you have added to Google Maps).
Microsoft: https://www.microsoft.com/en-us/servicesagreement/
> To the extent necessary to provide the Services to you and others, to protect you and the Services, and to improve Microsoft products and services, you grant to Microsoft a worldwide and royalty-free intellectual property license to use Your Content, for example, to make copies of, retain, transmit, reformat, display, and distribute via communication tools Your Content on the Services. If you publish Your Content in areas of the Service where it is available broadly online without restrictions, Your Content may appear in demonstrations or materials that promote the Service. [Highlight by me]
Apple: https://www.apple.com/legal/internet-services/itunes/us/term...
> Our Services may allow you to submit materials such as comments, pictures, videos, and podcasts (including associated metadata and artwork). [...] You hereby grant Apple a worldwide, royalty-free, perpetual, nonexclusive license to use the materials you submit within the Services and related marketing, and Apple internal purposes. Apple may monitor and decide to remove or edit any submitted material.
Github seems to be the only one I looked at which actually lists something they are not allowed to do: https://help.github.com/en/github/site-policy/github-terms-o...
> We need the legal right to do things like host Your Content, publish it, and share it. You grant us and our legal successors the right to store, parse, and display Your Content, and make incidental copies as necessary to render the Website and provide the Service. This includes the right to do things like copy it to our database and make backups; show it to you and other users; parse it into a search index or otherwise analyze it on our servers; share it with other users; and perform it, in case Your Content is something like music or video.
> This license does not grant GitHub the right to sell Your Content or otherwise distribute or use it outside of our provision of the Service.