7 SEGMENT LED, LCD 2x16, and 25 LED's

Yes, I sell the bare boards for the '1284 I showed, almost all thru hole & intended to be easily assembled. $4.50 if you want one (maybe $5 for shipping to UK, would have to check on that), needs $12-15 in parts. The surface mount parts are the 2 regulators and the power fuse to protect the USB port, all big pads with wide spacing. The PL is here Cross Roads Electronics

With the other LCD selected:
So, 11 is now 7 for the LCD, 7 for segments, 4 for digit selection, 2 for serial, that uses All the IO on an Uno.
You don't have a need for any buttons or other IO?

You're going to need a small board to hold the LED displays, the 7 current limit resistors for the LED segments, a transistor array if you are multiplexing whole digits (vs multiplexing all 28 segments), you could add a shift register to drive the segments and gain a few pins back that way also. Or add two, and drive the digit transistors the same way, and gain those pins also. (common shift clock, data pin, and 2 unique output latch pins).