According to the search results, there are many words that almost rhyme with "this". Here are some examples:

• Bits
• Blitz
• Fits
• Fritz
• Gets
• Grits
• Hits
• Kits
• Pits
• Quits
• Sits
• Wits

For a more comprehensive list of words that rhyme with "this", you can check out the search results from RhymeZone, Rappad, and WordHippo.