Images -> correlation in space -> Deep convolution networks
Time series -> correlation in time -> Recursive networks
Tabular data without clear correlation structure -> good old ML (ANN, SVM, DT, LR, KNN).
This is obvious when following the field since 2006 or so. Deep Convolutional Networks were considered a special case for data with local correlations at a hierarchy of spatial scales. Same for RNNs in time, although they came much later (when was the LSTM rediscovery again? 2016?)
For most data without clear spatial or temporal structure to exploit, the good old ML techniques will work just fine.