Jazz Standards for a Trio?

The guitarist is very basic, can only play chords and highly structured solos. Can not improv.
The bassists is very talented, can do improv and loves his instrument. Can play at an advanced level, but nothing too insane
The drummer is in between, not perfect, but can hold a beat down and give a good solo. Nothing too intense.

What are some good jazz songs we could play together for a show?

the point is, Im looking for songs that sound good and are easy for guitar!

Listen to the Oscar Peterson Trio with Herb Ellis and Ray Brown, and listen to the Ray Brown Trio with Gene Harris and Jeff Hamilton. Some of their recordings should give you a good idea.

Maybe "Mona Lisa" or My Romance" would be good songs to try.

Get what musicians call a"Fake Book". It is loaded with songs they call "standards".

play blues alot together in rehearsal. and listen alot together and individually. joe pass, herb ellis, earl klugh, jon schofield, wes montgomery, etc

Right what the other answers mentioned is good.Get a fakebook called real Book which has many Jazz standards and pop standards musicians have been using this book for many years. Yes listen to Oscar Peterson trio but as you will hear right away how tight this trio was and what virtuosos each are on their instruments. You should also listen to the Nat King Cole trio since they influenced Oscar Peterson very much. You may say Nat King Cole the pop singer !!! But before Nat would move his career toward vocals only he began as a great piano trio. Nat King Cole was to music what Babe Ruth was to baseball. As Babe Ruth was not only a great hitter ,he was also a great left handed pitcher,and as Nat King Cole was a great singer he was also a great pianist.