Resolving ORA-4031 "unable to allocate x bytes of shared memory"

Don't forget about fragmentation. If you have a lot of traffic, your pools can be fragmented and even if you have several MB free, there could be no block larger than 4KB. Check size of largest free block with a query like:

 select
  '0 (<140)' BUCKET, KSMCHCLS, KSMCHIDX,
  10*trunc(KSMCHSIZ/10) "From",
  count(*) "Count" ,
  max(KSMCHSIZ) "Biggest",
  trunc(avg(KSMCHSIZ)) "AvgSize",
  trunc(sum(KSMCHSIZ)) "Total"
from
  x$ksmsp
where
  KSMCHSIZ<140
and
  KSMCHCLS='free'
group by
  KSMCHCLS, KSMCHIDX, 10*trunc(KSMCHSIZ/10)
UNION ALL
select
  '1 (140-267)' BUCKET,
  KSMCHCLS,
  KSMCHIDX,
  20*trunc(KSMCHSIZ/20) ,
  count(*) ,
  max(KSMCHSIZ) ,
  trunc(avg(KSMCHSIZ)) "AvgSize",
  trunc(sum(KSMCHSIZ)) "Total"
from
  x$ksmsp
where
  KSMCHSIZ between 140 and 267
and
  KSMCHCLS='free'
group by
  KSMCHCLS, KSMCHIDX, 20*trunc(KSMCHSIZ/20)
UNION ALL
select
  '2 (268-523)' BUCKET,
  KSMCHCLS,
  KSMCHIDX,
  50*trunc(KSMCHSIZ/50) ,
  count(*) ,
  max(KSMCHSIZ) ,
  trunc(avg(KSMCHSIZ)) "AvgSize",
  trunc(sum(KSMCHSIZ)) "Total"
from
  x$ksmsp
where
  KSMCHSIZ between 268 and 523
and
  KSMCHCLS='free'
group by
  KSMCHCLS, KSMCHIDX, 50*trunc(KSMCHSIZ/50)
UNION ALL
select
  '3-5 (524-4107)' BUCKET,
  KSMCHCLS,
  KSMCHIDX,
  500*trunc(KSMCHSIZ/500) ,
  count(*) ,
  max(KSMCHSIZ) ,
  trunc(avg(KSMCHSIZ)) "AvgSize",
  trunc(sum(KSMCHSIZ)) "Total"
from
  x$ksmsp
where
  KSMCHSIZ between 524 and 4107
and
  KSMCHCLS='free'
group by
  KSMCHCLS, KSMCHIDX, 500*trunc(KSMCHSIZ/500)
UNION ALL
select
  '6+ (4108+)' BUCKET,
  KSMCHCLS,
  KSMCHIDX,
  1000*trunc(KSMCHSIZ/1000) ,
  count(*) ,
  max(KSMCHSIZ) ,
  trunc(avg(KSMCHSIZ)) "AvgSize",
  trunc(sum(KSMCHSIZ)) "Total"
from
  x$ksmsp
where
  KSMCHSIZ >= 4108
and
  KSMCHCLS='free'
group by
  KSMCHCLS, KSMCHIDX, 1000*trunc(KSMCHSIZ/1000);

Code from

Even though you are using ASMM, you can set a minimum size for the large pool (MMAN will not shrink it below that value). You can also try pinning some objects and increasing SGA_TARGET.