There are LOTS of places to find broadcast stations. A few stations remain on LW, but very few. Listen between 153 to 279 kHz. Medium wave is 526 kHz to 1606 kHz, with a few stations in what is called the X band which is 1606 to 1700khz.
A small loop antenna brings Medium Wave alive & will allow you to hear stations from all over the UK & much of near Europe.
https://www.ebay.co.uk/itm/Tecsun-AN-200-Tunable-AM-Radio-Loop-Antenna-No-Battery-No-Antenna-Jack-Needed/383091979146?hash=item59320fb38a:g:i9sAAOSwqsNdSskkOn Shortwave there are numerous slots.
The Tropical bands 2300-2495 kHz, 3200-3400 khz & 4750-4995 khz.
Other frequencies are 3950-4000 kHz. 5900-6200 khz. 7200-7450 kHz. 9400-9900 kHz. 11600-12100 khz. 13570-13870 kHz. 15100-15800 kHz. 17480-17900 kHz & a few others which are virtually unused now.
NONE of the above are channelised. So simply tune around those approximate frequencies & see what you can hear. All of the above shortwave frequencies are subject to propagation which will change between day & night & season to season. So who uses what band, will depend upon who they are broadcasting to & the time of day/ year.
You will also find free (unlicensed) radio stations on various frequencies, most commonly around 48 meters 6200 to around 6400khz. But the whole area between 6200 & 7MHz is worth monitoring. These stations are all hobby stations, so may only be on for a few hours a month.
The following site will show you what is possible & what has been heard free radio wise.
https://shortwavedx.blogspot.com/