visit

Others may be more knowledgeable but in my 7 months here I haven't heard of any tourist or like visa. Muslims do get a visa but only for pilgrimage purposes.
A business visa doesn't really allow u any facilities like getting family. As business visa in itself is a short term visa renewable upto 3 times I believe for 1 month each.
So in nutshell unless ur spouse gets a work visa and also a Iqama, I don't believe he can call you on a family visit visa.

Kris1982 wrote:

My husband is " consulting " in Ksa. The company he is working for gave him a business visa  and not a work visa so he doesn't have Iqama. He can't file anything to bring our kids and I there yet. What I'm wondering is, are there any other kinds of visitor's visas?

Thanks

As @Kyamadoce said below, unfortunately there is no such visa kind. But there is a general solution.

Your husband will have to talk to his company (who provided him the biz visa). They'll issue a business visa for you just like your husband's.

The process in so simple and my company does it a lot for our visiting consultants. Btw, It doesn't cost my company anything more than a 100 US bucks.