Batch process multiple actions

As indicated earlier I suspect the saving issue may need attention but this might provide a starting point; a dialog with the Actions from the first Set, that would run the selected Actions after OK-ing. 

// dialog with actions from first set of actions;
// 2024, use it at your own risk;
if (app.documents.length > 0) {
var theActionSets = getActionSets();
var theseActions = getActions(theActionSets[0]);
var myDocument = app.activeDocument;
//////////////////////////////////////////
var dlg = new Window('dialog', "action from first set", undefined);
//////////////////////////////
dlg.theList = dlg.add('listbox', [15,15,325,537], 'field', {multiselect: true});
// populate the list with the open files’ names;
for (var o = 0; o < theseActions.length; o++) {
dlg.theList.add ("item", theseActions[o]);
};
//dlg.theList.items[0].selected = true;
dlg.theList.onDoubleClick = function () {
var anArray = new Array;
};
//////////////////////////////
// build- and cancel-button;
dlg.cancelOk = dlg.add('panel', [12,495,308,550], "");
dlg.cancelOk.buildBtn = dlg.cancelOk.add('button', [10,10,141,40], 'OK', {name:'ok'});
dlg.cancelOk.cancelBtn = dlg.cancelOk.add('button', [149,10,280,40], 'Cancel', {name:'cancel'});
dlg.center();
var myReturn = dlg.show ();
//////////////////////////////
if (myReturn == true) {
// run clicked actions;
for (var o = 0; o < dlg.theList.items.length; o++) {
if (dlg.theList.items[o].selected == true) {
app.doAction(String(dlg.theList.items[o]), String(theActionSets[0]))
}
};
};
};
////////////////////////////////////
////////////////////////////////////
////////////////////////////////////
// using code by xbytor and paul riggott;
function getActionSets() { 
cTID = function(s) { return app.charIDToTypeID(s); }; 
sTID = function(s) { return app.stringIDToTypeID(s); }; 
var i = 1; 
var sets = [];  
while (true) { 
var ref = new ActionReference(); 
ref.putIndex(cTID("ASet"), i); 
var desc; 
var lvl = $.level; 
$.level = 0; 
try { 
desc = executeActionGet(ref); 
} catch (e) { 
break;   
} finally { 
$.level = lvl; 
} 
if (desc.hasKey(cTID("Nm  "))) { 
var set = {}; 
set.index = i; 
set.name = desc.getString(cTID("Nm  ")); 
set.toString = function() { return this.name; }; 
set.count = desc.getInteger(cTID("NmbC")); 
set.actions = []; 
for (var j = 1; j <= set.count; j++) { 
var ref = new ActionReference(); 
ref.putIndex(cTID('Actn'), j); 
ref.putIndex(cTID('ASet'), set.index); 
var adesc = executeActionGet(ref); 
var actName = adesc.getString(cTID('Nm  ')); 
set.actions.push(actName); 
} 
sets.push(set); 
} 
i++; 
} 
return sets; 
}; 
function getActions(aset) {
cTID = function(s) { return app.charIDToTypeID(s); }; 
sTID = function(s) { return app.stringIDToTypeID(s); };
var i = 1;
var names = [];
if (!aset) {
throw "Action set must be specified";
}  
while (true) {
var ref = new ActionReference();
ref.putIndex(cTID("ASet"), i);
var desc;
try {
desc = executeActionGet(ref);
} catch (e) {
break;
}
if (desc.hasKey(cTID("Nm  "))) {
var name = desc.getString(cTID("Nm  "));
if (name == aset) {
var count = desc.getInteger(cTID("NmbC"));
var names = [];
for (var j = 1; j <= count; j++) {
var ref = new ActionReference();
ref.putIndex(cTID('Actn'), j);
ref.putIndex(cTID('ASet'), i);
var adesc = executeActionGet(ref);
var actName = adesc.getString(cTID('Nm  '));
names.push(actName);
}
break;
}
}
i++;
}
return names;
};

And just to make sure: Are you sure the recorded »Save As«-step will not overwrite an existing file repeatedly? (Or is that the intention?) 

"I can only highlight individual actions and hit the play button."

You can record an action step to trigger another action. Just avoid moving actions from one set to another, as the path is hard-coded, and do not rename the action after recording the step to play it. Is that what you meant, or is there another issue you're facing?

@Attila7479 

It's not clear what you want to do:

1) Serially play 20 separate actions, one after the other on each automate/batch image? If so, an action can be recorded playing multiple actions.

2) Have one or more actions conditionally play on each automate/batch image, depending on image specific criteria? If so, conditional actions or a script would be required.

3) Something else?