Opera has a pretty nice Speed Dial option, which I've started to use more and more.
There is only one big downside to it: The image used for a website shortcut, can only be an image that resides on that particular page, and there is no option to upload your own image.

I did find a work-around though, even though it still won't allow to upload your own image (unless you can place it on your own webserver of course).

1. Find an image, online, that you'd like to use for your shortcut.

As an example, I was looking for one for my firewall, so I went to Google and looked for an appropriate image.
Once found, click it once so it shows on the right-side in a larger size.
Right click it and select "Open image in new tab" (I found this one).

2. Click the heart icon (on the right of the address) and make sure it shows the image you want and click "done".

(use < and > to toggle through possible images)

3. Open Speed Dial and verify that the image shows and copy the URL (click ... and select Edit, and copy the URL listed).

4. In the address bar of your Opera browser, now go to: opera:about 

This will show some of the Opera details, one of them being the path to your profile.
Copy this path and in your file explorer / finder, go to that path and look for the file Bookmarks.

For example, mine is (MacOS): /Users/hans/Library/Application Support/com.operasoftware.Opera

5. Close Opera.

6. Open the Bookmarks file we just found with a plain text editor (Notepad, Notepad++, BBEdit, etc) and find the URL we noted in step 3.

You'll find it in a section like this:

            }, {
               "date_added": "13264089839898218",
               "guid": "d3a34d93-1dac-4807-be13-046e448cb16c",
               "id": "1758",
               "meta_info": {
                  "imageData": "https://sync-thumbnails.operacdn.com/c6fdcadd6e7595a72a1e39563da4d69b85abe09dada8e1e8e9df152633e03c51.jpe",
                  "imageDataType": "2",
                  "imageID": "CBA542DCAC0F1DFE12C5901C9755CE27F5528BF1C0F0F8604D35574DC1421D45",
                  "imageIdentifier": "1cca62b9",
                  "imageType": "2",
                  "undoTrashParentId": "417",
                  "undoTrashParentIndex": "20"
               },
               "name": "gratis-png-firewall.png",
               "type": "url",
               "url": "https://c0.klipartz.com/pngpicture/361/639/gratis-png-fuego-con-el-logotipo-de-ladrillo-firewall-computadora-iconos-red-informatica-grabar.png"
            }, {

7. Replace the "url" now with the URL that you really wanted to use, so in my example the URL of my firewall (192.168.1.1), and update the "name" to reflect your website.

            }, {
               "date_added": "13264089839898218",
               "guid": "d3a34d93-1dac-4807-be13-046e448cb16c",
               "id": "1758",
               "meta_info": {
                  "imageData": "https://sync-thumbnails.operacdn.com/c6fdcadd6e7595a72a1e39563da4d69b85abe09dada8e1e8e9df152633e03c51.jpe",
                  "imageDataType": "2",
                  "imageID": "CBA542DCAC0F1DFE12C5901C9755CE27F5528BF1C0F0F8604D35574DC1421D45",
                  "imageIdentifier": "1cca62b9",
                  "imageType": "2",
                  "undoTrashParentId": "417",
                  "undoTrashParentIndex": "20"
               },
               "name": "My Firewall",
               "type": "url",
               "url": "https://192.168.1.1"
            }, {

In the example above, I changed:

- the field "name" to "My Firewall" and
- the field "url" to " https://192.168.1.1 ".

8. Now save and close the text editor and restart Opera.

You'll see the speed dial now using the image you chose. 😊