I have Campag C-Record pedals on my SBDU Raleigh - the aero type with"modular"clips and straps - properly adjusted toeclips and straps are fine.
I occasionally use a pair of first gen Looks I bought in the day (80s) with Lake shoes.
I use black leather Diadora's without cleats when using toeclips and straps these days.
Co-founder of a V-CC section, member South Eastern Road Club and owner of - 2005 Bianchi Reparto Corse (modern), 1985 Raleigh SBDU Pro Super, 1984 Raleigh LU Corsa, 1980 Allin Stan Butler Special, 1978 Ron Cooper, 1975 Bill Philbrook tourer, 2 x very early Roberts (mid/late 1960s), 1966 Raleigh Superbe Roadster, 1964 Allin Stan Butler Special Belgique, 1951 Hobbs of Barbican S/C, 1950 Hobbs of Barbican S/C, 1947 Hetchins Super Special, 1908 Centaur Featherweight. 1988 Specialized Stumpjumper.