An incomplete list of my favourite indicators : moving averages (often smoothed) to indicate direction of prices, momentum (to tell the rate at which price changes), TRIX (which is a smoothed momentum indicator), supertrend as a filter for entry or exit – do not enter or exit, when a supertrend is in the wrong direction, ADX (to tell, when a trend has ended), Bollinger bands to see extreme price movements that may revert in the future. Sometimes RSI to see when a situation is oversold or overbought. But especially with RSI, nice curve fits can be easily overoptimized that may not work in reality. For all others of course, too.
So-called advanced indicators (Kaufmann’s adaptive moving average and things like these, and you will find many more in the indicator list of this forum) often have complex assumptions that are not always backed by reality. I usually refrain from using such over-complex indicators.