1.Tel Aviv Museum of Art
The Tel Aviv Museum of Art is Israel's largest art museum and houses a reasonably impressive collection of classical and contemporary art. This includes works by Cezanne, Chagall, Dali, Monet, Henri Moore, Auguste Rodin, Archipenko, Picasso, Klimt, Kadinsky. There was a new wing opened in the fall of 2011 which looks amazing but I unfortunately didn't get to visit. It's a close walk over to Rabin Square, #4 on our list as well. So you can visit both in the same day.
2. Old Tel Aviv Port
This used to be a derelict stretch of warehouses and garages. However it's now been transformed into a great area to visit. Filled with a lot of restaurants and shops spread out over a great boardwalk. You'll find the port along the north end of the beach front. So it's a bit of a walk from many of the hotels. However you can easily take a taxi or a bus up near the area. It is fenced in to pedestrian traffic only so you can only get so close by car.
3. Carmel Market
This is a great street market and is open every day of the week, except Saturday. The market mostly sells food but also a variety of home and decor items. Thursdays and Fridays there are extra vendors down another street and the side streets. You'll find jewellery and art for sale on these days as well. A lot of the stalls are covered but it can still be super hot so keep that in mind when you're heading out.
4. Rabin Square and memorial
A really nice large open public square in the middle of Tel Aviv. Renamed Rabin Square November 4th 1995 after Yitzhak Rabin as assassinated there the same year. The square is surrounded by busy commercial streets that have a good variety of cafes and restaurants.
Check out this sweet google street view of it here https://www.google.com/maps/views/view/streetview/israel-highlights/rabin-square/keTxNNeyUymqgZrz3aLoQA?gl&heading=336&pitch=99&fovy=75
5. Hit the beach and walk the promenade
All of the west side of Tel Aviv is one long beach. It's split up into sections name after various hotels and beaches near each one. Along the beach is a great pathway that you can stroll back and forth along. It's a bit rough but most wheelchairs should be okay with it. Even if going along it did eventually start to shake the bolts out of my side guards. There are also section of boardwalk that let you get right down onto the beach as well.
6 Old City of Jaffa
When I was in Tel Aviv I made a trip down to the old city of Jaffa. Being such and old city the terrain around here is pretty rough. Not all wheelchair users are going to be able to manage it unfortunately. However if you feel you're able to make the trip it's worth the time to go down and take a look around. Looks of neat shops and places to eat. Also we climbed way up the hill for an amazing view back along the Tel Aviv beaches.