The LD site has some great ways to find games to rate with the smart filter to find jammers who are doing a good job of rating/feedbacking others and need some rating or the danger filter to find games that are close to the minimum 20 ratings needed.

If you are looking for LD53 web games to play, you can use itch searching for those who uploaded with itch.

I would also recommend to those who upload on itch to fill out all the options for the entry.

Use the ludum-dare-53 tag and link back to the LD site:

You can also add information in the Metadata section to call out things like input methods and any accessibility option your game has.

I would love to find more LD games that are playable on phone.