You'll enjoy the museums and monuments in Shuwaikh. You might want to make time for a stop at Arab Fund Building or Kuwait National Stadium.
Though Bneid Al Qar might not have many top sights, you can venture to the surrounding area to see attractions like Al Shaheed Park and Aqua Park.
When in Al-Bidea, you can plan a visit to Arabella Mall and Al Fanar Mall, some noteworthy sights in the nearby area.
While visiting Julai'a, you might make a stop by sights like Al Kout Mall and Khiran Resort Beach.