How to choose a personal task scheduler (personal ToDo manager)?

Question

Task Management

I will try to describe what I want ideally and what I did not like about what I used.
In functional / ideological terms, I need a system that allows you to plan tasks within several contexts at the same time
: so that the creators clearly adhere to the ideology of this particular book, and not only and not so much GTD).
2. By time frame - year, month, week, day.
3. Custom tags.
4. Prioritization.
5. This point is difficult to describe, but I somehow need the system to be able to help me focus on "important and urgent tasks", hiding the rest, and not display everything in one stupid list, marking such tasks with an exclamation point - I want more focus and less visual mess. In general, I want minimalism and simplicity in the interface.
From a technical point of view, I would like:
1. A web interface for a large computer and a mobile client for iOS - I don’t want a database file in dropbox and other clouds at all.
2. The ability to quickly fill in tasks by continuous typing on the keyboard (create tasks as you type), without any separate forms for creating a task. Such a form should exist in order to fine-tune the details, but a quick way to create a print task and all sorts of hotkeys there should be a must.
3. Lightness and speed of the interface.
4. Flexibility and visibility - for example, point 1 from the previous list (projects -> specific tasks) would be great to visualize in the form of a mind map, but I have not seen such a function anywhere yet.
5. The ability to add documents with text and pictures (Microsoft OneNote, for example, can combine task lists and arbitrary content on one page of a document - more on that below).
What I tried:
1. Different GTD systems like DoIt.im. What I don't like is the relatively dumb task list keepers, they don't help to focus on tasks in any way. The difficult-to-describe item 4 from the first list is violated.
2. Google Docs - no comments, it's still not a task organizer.
2. Microsoft OneNote - everything is very flexible, there are customizable tags and checkboxes, you can print and design as you like, tasks mixed with text / pictures, but, again, this is still not a task organizer as such, rather a notebook. There, deadlines for tasks, for example, are implemented through events in the Outlook database.
In theory, for example, it would be interesting to try 2do, but it doesn't seem to have a web interface (and I don't have a Mac either). Plus, it doesn't seem to help with focus, it's still like a to-do list keeper, just very flexible.
Please advise if you know a system that somehow meets the stated requirements? Please don't recommend "regular" GTD systems like Nirvana etc. - I'm glad if they work perfectly for you, but I'm not good at just keeping a to-do list, I need a tool that helps me focus on what's important and create/display flexibly tasks (here a nod to OneNote).
If you have similar needs and you were able to somehow adapt tools that were not originally sharpened for this (like the same OneNote) to solve them, it would also be very interesting to listen to your experience.

Answer 1

* Wunderlist https://www.wunderlist.com/en/
* Things culturedcode.com/things/

Answer 2

I've settled on sandglaz.com for now. But this is, in general, a "task list keeper", so I don't know how it will suit you.

Answer 3

Try https://prettytasks.com/en/

Answer 4

Try MLO (MyLifeOrganized)
1-2 You can set up tab views, where a flexible cut from the general scheme of tasks is made. There are projects and goals (year, month, week)
3. There is a system of contexts (by time, place) and flags
4-5 There is smart sorting based on importance / urgency, focus. The interface is relatively minimalistic, superfluous can be easily removed 1. synchronization with a mobile client via wifi
or your own cloud ($1/month)
2. There is a quick task entry with parsing of the entered text
Russians and students)
4. very flexible, good manual. Tree structure of tasks. Ability to export to mindmanager, they promise to add a calendar view
5. There are notes for tasks, but without pictures.