They recommend tantalum in datasheets because (at the time those datasheets were made) they usually had higher esr compared to ceramic capacitors (around 0.5-1ohm , so they fit into that 0.3 ohm - 22 ohm window).
Nowadays, electrolytic capacitors are good enough that you can find 10uF or 47uF or 100uF electrolytic capacitors with 10v-50v rating with esr below 1 ohm, in the past it was more difficult.
Very low esr series like Panasonic FM or FR are borderline .. for example even 100uF 10v rated Panasonic FR is specified at 0.3 ohm impedance at 100kHz so maybe it wouldn't be smart to use them
Older series like
Nichicon PW or Nichicon VR (meh, standard 85c only) have higher ESR values and are also cheaper, for example the 5mm x 11mm PW capacitors (10-47uF 25v rated for example, or 22-100uF 10v) have a specified ESR value of 0.6 ohm at 20c/100kHz (well, actually impedance, but at 100kHz impedance and esr are pretty much the same thing.. won't be the case with linear regulator but it's good enough indicato to use)
Other low esr series that would most likely work would be Nichicon HE (mostly smallest sized ones in series) , Nichicon HD , Rubycon PX (85c standard), YXF , ZL , United Chemi Con LXY , Panasonic FC ...
I wouldn't use tantalum capacitors in my circuits at all, if I can avoid it. I'd rather use a couple ceramic capacitors in series with a resistor if there's no vertical height for an electrolytic for example.
@Falcon69 with 12v in , 5v out , I'd worry about heat dissipation especially at high currents. Remember, linear regulators waste the difference as heat, so at 800mA you'd have (12v-5v) x 0.8 = 5.6 watts. You'd definitely need a heatsink for it, and a surface mount 1117 won't cut it. I wouldn't use such a high input voltage in combination with a linear regulator for more than around 1w dissipated as heat (around 100-150mA) - 1w can be dissipated in the circuit board or in air or on a tiny heatsink
For more than 0.5A, I'd definitely consider switching regulators .. you can find very tiny ones that only need tiny components like an surface mount inductor and maybe a diode and a couple ceramic capacitors to work, and they don't cost much.
// edit : sigh... Warning - while you were typing
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guess i take a long time writing posts