Allow me to give you a few conductors that are not the usual suspects in the Elgar Symphonies.
(1) Yehudi Menuhin in both No. 1 & No. 2 along with the Pomp & Circumstance and other Marches.
Royal Philharmonic Orchestra 1989, 1991
Virgin Classics CDVB 7243 5 61430 2 9 (2 CDs)
I heard Menuhin conduct No. 1 with the Royal Phil on tour in America a long time ago and the memory still remains with me.
(2) Silvestri in No. 1 with the Bournemouth Symphony Orchestra. Live recording, Winter Gardens, Bournemouth, 25 July 1968. Silvestri had plans to record both symphonies but died before he could do so. This live recording is not in the best sound but the Adagio is outstanding.
BBC Music BBCL 4182-2 (2 CDs)
(3) Giuseppe Sinopoli in No. 2 with the Philharmonia Orchestra, 1987, DG 423 085-2
Veerry slooww and portentous but a valid view of the symphony nevertheless by a non-British conductor. I shall give timings.
Symphony No. 1 in A flat major, Op. 55
I Andante. Nobilmente e semplice - Allegro
II Allegro molto.
III Adagio
IV Lento - Allegro
Menuhin: 19:03; 6:51; 12:53; 12:03
Boult, BBC Symphony, 1976 Proms: 17:22; 7:05; 9:04; 11:19
Boult, London Phil, 1977: 18:33; 7:14; 10:53; 12:01
Silvestri: 22:04; 8:12; 11:33; 13:04
Symphony No. 2 in E flat major, Op. 63
I Allegro vivace e nobilmente
II Larghetto
III Rondo: Presto
IV Moderato e maestoso
Menuhin: 16:53; 14:11; 7:40; 13:39
Boult, BBC Symphony, 1945: 16:23; 14:08; 7:57; 13:37
Boult, London Phil, 1976: 17:29; 14:13; 8:00; 13:15
Sinopoli: 20:44; 18:23; 8:57; 17:13