As has been said, it doesn't matter in what manner you make a record, as long as you do and that it includes the appropriate items.
From EASA Part-FCL:
FCL.050 Recording of flight time
The pilot shall keep a reliable record of the details of all flights flown in a form and manner established by the competent authority.
From the ANO:
Article79
(1) Every member of the flight crew of an aircraft registered in the United Kingdom and every person who engages in flying for the purpose of qualifying for the grant or renewal of a licence under this Order must keep a personal flying log book in which the following information must be recorded:
(a) the name and address of the holder of the log book;
(b) detailed information about the holder's licence (if any) to act as a member of the flight crew of an aircraft; and
(c) the name and address of the holder's employer (if any).
(2) Detailed information about each flight during which the holder of the logbook acted either as a member of the flight crew of an aircraft or for the purpose of qualifying for the grant or renewal of a licence under this Order must be recorded in the log book as soon as reasonably practicable after the end of each flight.
(3) The information recorded in accordance with paragraph (2) must include:
(a) the date, the places at which the holder of the log book embarked on and disembarked from the aircraft and the time spent during the course of a flight when the holder was acting in either capacity;
(b) the type and registration marks of the aircraft;
(c) the capacity in which the holder acted in flight;
(d) information about any special conditions under which the flight was conducted, including night flying and instrument flying; and
(e) information about any test or examination undertaken by the holder of the logbook whilst in flight.
(4) Information about any test or examination undertaken whilst in a flight simulator must be recorded in the log book, including:
(a) the date of the test or examination;
(b) the type of simulator;
(c) the capacity in which the holder acted; and
(d) the nature of the test or examination.
It's up to you whether you choose a traditional hardback bound logbook of some kind, a software program (which you may print out when needed), or some bits of paper in a binder. It doesn't matter what format you opt for, as long as you keep the required information.
I suspect "JAR-Compliant" is simply marketing speak for, has suitable columns and spaces to record the specified data.