AFAIK there are no more active analog function generator chips except maybe the XR2206 clones. With a reasonable data-sheet and source other than the kits, might be an option. The ICL8038, real XR2206 and the max038 got rare and difficult to impossible to get. If it needs to be analog, it would be down to more basic parts like OPs, comparator and so on.
The modern way is going DDS, either with a dedicated chip (e.g. AD9850, AD9835,...), a FPGA + DAC or maybe a µC and DAC for the lower frequencies. However this is digital control and thus usually a µC for control.