JASPAR is only based on TF motifs, which are very short sequences and not enough to precisely tell you the true TF-motif relationships, especially when multiple TFs have complex logic gates regulating overlapped targets.
An alternative way is to find some transcriptomic data upon perturbation of each TF. The drawbacks are that the redundancy of TFs will mask a lot of targets, and that the up/down regulated genes may not be direct targets but targets of targets (of targets of targets...).
Another way is to find ChIP-seq data for TFs you care about, and hopefully you can find the right biological context. But still ChIP signal isn't exactly binding pattern, which in turn isn't exactly indicating target relationship.
Overall, it's a challenging task to know what are the true targets of a TF.