Finding a high quality zoom lens for $232 is an impossible task.
Before you condemn your present camera and/or lens, try taking some pictures using a tripod to steady the camera. Some people have difficulty holding a camera steady. If you don't have a tripod use a bean bag or just set the camera on a table and use the delayed shutter feature.
The delayed shutter will keep you from jostling the camera when you press the shutter.
Back in the days when people used a camera viewfinder to take pictures, your head would help you hold the camera steady. Holding a camera away from your body, at arms length, so you can see the LCD screen is not the best way to steady a camera.
When I am checking at www.dxomark.com/Lenses/Ratings
Any Zoom lenses for Sony a6000 which has 24 megapixels sharpness as a6000, a6300, a6500 body support
24 megapixels then I am not getting lenses with persistent sharpness of 24 megapixels
I am getting same problem, when I am searching zoom lenses for Fujifilm X-E3
My main concern is : I want to buy APS-C Mirrorless Camera which has lots of good quality lenses option on very less price, mainly looking for zoom normal lenses eg : 15mm - 55mm or 14 mm - 45 but also with same persistent sharpness/megapixels what body image sensor is capable of also with high aperture
I selected some of APS-C Mirrorless body :
Fujifilm X-A5, Fujifilm X-E3, Fujifilm X100F
Sony Alpha a6500, Sony Alpha a6300
Canon EOS M100, Canon EOS M6
But I am not finding cheap lenses with same persistent sharpness/megapixels what body image sensor is capable of
My budget is $232
So basically my selection of APS-C Mirrorless body depend on cheap Normal Zoom lenses with good quality availability around $232