Some websites have made games that are more mobile friendly without Flash, notably: ict games, kizphonics, mr. nussbaum, and room recess. Some of these games can be found at the mobile friendly symbaloo.
A work-around found through an article from How To Geek that led me to Ruffle, has been working for me on my laptop. Please note that the instructions do require downloading and unzipping a file to add an extension to Chrome.
The work-around above may be helpful to use games with Flash at some websites like Galactic Phonics, Literactive, and more found at the Symbaloo collections. I have learned that Professor Garfield, excellent for phonemic awareness, does not work with the Ruffle fix, but does work in the Puffin browser. Unfortunately, Puffin includes annoying pop-up ads. Clever Learner has not been working either way at this writing.