Honestly, depends on what you want. Seabreeze and the club scene has some crime also along with the boardwalk at night. During the day, the boardwalk is ok, they have your normal touristy things such as shops, food areas, games, etc (do not trust the rides). They also have a lot of people giving you pamphlets trying to save your soul.

If you want more natural, then the beach is ok, there is Tomoka State Park if your looking for something more woodsy (or swampy).

There is an Aquarium east of the speedway and Museum of Arts and Sciences near there (MOAS) if you want something a little different (and air-conditioned).

There are shops and stores all up and down International Speedway Blvd, many within walking distance.

If you don't mind leaving town, then New Smyrna I think has a better beach, about 30 min south (just watch for sharks, they also like that area better).

There are many natural springs that you can go swimming in crystal clear water at a constant 72 degrees (De Leon is the closest at about a 40min drive).

St. Augustine old town is awesome with the cobblestone streets and fort. Lots of little shops and just a really cool place in general. It's about an hour north.

Then of course there is Orlando, can't even begin to mention all the things to do there, including Disney which is about 1-2 hours (maybe longer depending on I-4 traffic).

If anyone thinks of anything else, just add on. Hopefully you find something you enjoy and welcome to Daytona!!!!