Collocations are two or more words that often go together. They are combinations that native English speakers use all the time. Here are some common adverb + adjective collocations.

absolutely delightedCarla was absolutely delighted to win first prize.
actively involvedThey are both actively involved in politics.
badly injuredSeveral passengers were badly injured in the accident.
bitterly coldThey set off on a bitterly cold winter morning.
bitterly disappointedSam was bitterly disappointed with the result.
blissfully unawareHe sat on the edge of the cliff blissfully unaware of the danger.
completely differentThe twins have completely different personalities.
conveniently locatedThe house is conveniently located near shops and schools.
deadly seriousTom was deadly serious when spoke about his plans.
deeply dividedThe referendum left the country deeply divided.
deeply offendedYou could see that Bill was deeply offended by the remark.
desperately eagerThe candidate was desperately eager to please.
entirely satisfactoryThe result was not entirely satisfactory.
eternally gratefulI will be eternally grateful for all your help.
fiercely competitiveLow-cost airlines are fiercly competitive nowadays.
fully awareTom was fully aware of the consequences.
heavily armedThe soldiers guarding the building were all heavily armed.
highly impressedWe were all highly impressed by the athlete’s performance.
highly unlikelyIt is highly unlikely that any survivors will be found.
highly unusualSnow at this time of the year is highly unusual.
mildly amusedThe teacher didn’t laugh, although she did look mildly amused.
painfully shyAs a child I was painfully shy – I didn’t speak much.
patently obviousFrom the look on his face it was patently obvious that he was not interested.
perfectly clearIt was perfectly clear that Julie did not approve.
perfectly normalIt’s perfectly normal to be nervous before an exam.
readily availableInformation is readily available for visitors.
reasonably happySince moving to London Carla seems reasonably happy.
really amazingThe special effects used in Star Wars are really amazing.
reasonably pricedHousing is reasonably priced in this area.
ridiculously cheapI was lucky. The shoes I liked were ridiculously cheap!
scared stiffJulie was scared stiff when she saw the snake.
seriously illThe doctor informed us that dad was seriously ill.
sorely missedOur English teacher will be sorely missed when she retires.
strictly forbiddenIt is strictly forbidden to walk on the lawn.
strongly opposedHer parents were strongly opposed to the marriage.
terribly disappointingTom didn’t enjoy the show. He found it terribly disappointing.
thoroughly spoiltThat child is thoroughly spoilt!
totally unbelievableHis version of the accident was totally unbelievable.
utterly stupidIt is utterly stupid to go sailing in stormy weather.
vaguely familiarI don’t know who he is but his face is vaguely familiar.
widely acceptedPayment by credit card is now widely accepted.
widely availableThe product is widely available so you should have no trouble finding it.
wildly optimisticHis sales estimations are wildly optimistic.