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, Professor Garfield, and more found at the Symbaloo collections.