We report a systematic study of the magnetic phase diagram in the H–T plane, negative magnetization (NM), exchange interactions and field-induced spin–flop transitions in the distorted perovskite Y1−x
Ce
x
CrO3. Locked AFM and weak-FM configurations in Γ4(G
z
, F
y
, A
x
) phase of YCrO3 (S = 3/2 ground state) unlocks into the Γ2 (F
z
, G
y
, C
x
;
F
z
R
,
C
x
R
) phase of the canted AFM and FM structures with the dilute substitution of Ce (x ⩾ 0.05). The asymmetric and symmetric exchange interaction (J
AS ∼ 0.11 meV and J
S ∼ 0.85 meV) between the trivalent Ce and Cr enable the positive quartic-anisotropy field (
H
K
4
∼ 2.85 × 102 Oe) along with the second order anisotropy field (
H
K
2
∼ 5.93 × 102 Oe). Unlike the pristine YCrO3 compound, the Ce incorporated system exhibits a giant fourth-order anisotropy constant (K
4 = 1.35 × 105 erg/c.c.) due to the asymmetric exchange interaction between the trivalent Ce–Cr which further lifts the free energy of the system and causes lag in the onset of AFM ordering showing the significant thermal hysteresis (ΔT ∼ 10 K) in the field-cooled (FC)-warming measurement protocol as compared to the FC-cooling mode. The H–T phase diagram, mapped from the isothermal magnetization data and differential magnetic susceptibility data with different measurement protocols clearly distinguishes three prominent regions below the T
N (∼150 K), viz (i) long-range canted AFM + weak FM phase (Γ4 (G
z
, F
y
, A
x
)), (ii) Γ24 mixed phase and (iii) robust Γ2 (F
z
, G
y
, C
x
;
F
z
R
,
C
x
R
) AFM + FM phases. Tunable spin–flopped transition (∼ 30 kOe), significant negative exchange-bias field (H
EB ∼ 2.5 kOe), huge coercive field (H
C ∼ 22 kOe) and large NM (ΔM ∼ 280 emu/mole) are the unique characteristic features of the current investigated system.